So, I have a standing opinion about Wynonna Earp, the TV show: It is Buffy the Vampire Slayer, but better. I know Buffy is a classic, and I have a deep fondness for it (that I maintain by not watching it again), but Wynonna has a big thing in its favor.
It is about adults. Wynonna? The Heir is twenty-seven. Aside from flashbacks (like the night Willa died), the Heir's choices are always choices made by an adult. They are frequently the BAD choices of an adult, because Wynonna and good choices aren't on speaking terms, but if she has a thing for her hot mentor, hey, they're adults. Her and Holliday, the 150 year old gunslinger who knew her great-great-great(?) grandfather? Grown-ups.
There's always a tinge of cringe about BtVS, because the main characters are mostly kids, especially for the first three seasons. Buffy is a kid when she sleeps with Angel who, even leaving aside his two hundred years of vampirism, is a grown man, turned at the age of thirty two... and we shouldn't leave aside two hundred plus years of vampirism. Xander hooking up with bug teacher, or having the entire female population of Sunnydale mad for his pants? Kid. The actors were grown-ups, sure, but narratively, Angel sleeps with someone who just turned 17 (if air date matches up with Buffyverse date, Innocence aired January 20th, 1998, while Buffy was born January 19th of 1981). I have to wonder if age of consent in 1998 California was 17, because Joss Whedon is reportedly the kind of man who memorizes age of consent laws... and the less said about Whedon, the better.
But, anyway, Wynonna has a lot in common with Buffy the Vampire Slayer, since both are about bad-ass women who kill demons due to some ancient curse or whatnot. Both get contacted and guided by a semi-secret force whose job is to contain all manner of demons and other baddies. Through the seasons, they learn that not all demons are bad, their sister (from another mister, for Buffy) turns into an uber-powerful monster of magic, redeemed by someone close to them (creepy friend or lover, take your pick). It's not beat for beat, but there's connective tissue there.
And, like my brain usually does, I turned to RPGs. Specifically, the Buffy the Vampire Slayer and Angel RPGs put out by Eden Studios in 2002 & 2003, after the fifth and third seasons, respectively. "What would the Heir look like in BtVS/Angel system?" Which led to "What would the revenants look like? Or Peacemaker? Or any of the magics of the show?" And so it goes.
I'm going to be drawing mostly from the Angel game, here; it's a slightly newer ruleset, and, crucially, doesn't include the Sorcery quality, which combines spellcasting and telekinesis. It's also got some solid rules for developing demons. Surprisingly for a licensed RPG, however, both Buffy and Angel are still available on DriveThru, so check those out.
Playing Wynonna Earp
Unless you want the further adventures of Wynonna, Doc, Wayhaught, and the rest, approaching Wynonna Earp can be a bit of a pickle. We see her story from picking up Peacemaker to putting the last of the Revenants, along with Bulshar Clootie and his wives, in the ground, before she and Doc ride off into the metaphorical sunset.
One option is to play the years between Josiah Earp and Edwin. Wyatt died in 1929, and Edwin took up Peacemaker in 1967; there's a lot of years in there where some uncle or aunt of Edwin might have picked up Peacemaker.
Or, you might play in the Ghost River Triangle; one of the people trying to get by as Purgatory gets frozen in time, taken over vampires, surrounded by hallucinogenic fog, or other hazards of being an extra in someone else's adventure.
And there's always the wider world. Black Badge operated throughout the United States and Canada, and maybe even further. Maybe you're a member of Black Badge, or a civilian trying to survive Maldito, New Mexico.
Black Badge Operative
7 Point Quality
Black Badge employs all sorts of folks; nerds, administrators, and the Operatives. These last are hard men and women, combat veterans whose exposure to the supernatural has made them well-suited to watch demons, revenants, and other things that go bump in the night. Not all of them breathe fire; that was Xavier Dolls' special talent.
Black Badge Operatives get +1 to three different attributes (capped at 6, like all mortals), either Situational Awareness or Fast Reaction Time, and three levels of Hard to Kill (two more can be purchased). They also get a +1 to two combat skills, and +1 to Occultism. Black Badge means that they have a three point Obligation and a one point Adversary. They will probably wind up with more adversaries.
The Heir
7 Point Quality
The Heir of the Earp Curse is said to be the oldest living descendant of Wyatt Earp. Only they can fire Peacemaker, the blessed pistol given to Wyatt Earp by the angels Julian and Juan Carlo, forged from the Sword of Fire that guarded the Garden of Eden.
This may not be precisely true; for a brief time in 2016, it was evident that both Wynonna and her older sister Willa were functionally the Heir. Willa turned 27 in 2014, but didn't have access to Peacemaker, whereas Wynonna received it on her 27th birthday. It's possible that Peacemaker itself made a choice to make Wynonna the Heir, in the absence of Willa.
Being the Heir carries with it some mechanical benefits and drawbacks.
The Heir has a variety of enemies; before the curse was broken, they faced the Revenants, plus Constance (and eventually Bulshar) Clootie. 77 near-immortal demons who only get free if the curse breaks, plus a witch who pals around with her sister-wives and demonic husband. This is equal to a five-point adversary
The Heir is good, but not quite superhuman. They get a +2 to Dexterity and Constitution, but these can only reach a 7. They also get a +1 to Willpower, but that is still capped at 6, like other humans.
Being the Heir conveys a bit of skill with Guns; they get 2 levels in Gun Fu. Like Attribute bonuses for demons, these are applied after the character has bought their skills. The Heir doesn't need to spend points on Gun Fu to get these, but they can if they want. It would probably be a good idea.
Being the Heir conveys 3 levels of Hard to Kill, and they can take five more, if they want. They also have Fast Reaction Time.
Lastly, the Heir can use Peacemaker
Revenant
3 Point Quality
About 100 years ago, you were shot by Wyatt Earp. Since then, you've returned to life at least once, and possibly gone to hell a few times. Every time an Earp Heir dies, you come back from Hell, until the next Heir turns 27 and it starts all over again. Those that have died several times are more likely to have some sort of demonic powers; those that haven't spent much time in Hell are more likely to have Age. However, they all have some qualities in common
* Unique Kill: The only way to put a Revenant down for good is to kill them with Peacemaker. Without Peacemaker, they go to 1 Life point, and just stop losing them. There may be some other blessed devices that can take down other sorts of Revenants, but those of the Ghost River Triangle require Peacemaker to shoot them between their eyes. If they're lucky, The Heir will let them make their peace, first.
* Regeneration: Revenants heal their Constitution in damage every hour. Because they also have Unique Kill, they'll heal from almost everything, eventually.
* Immortal: Revenants are always the age that Wyatt killed them.
* Bound to the Ghost River Triangle: Revenants can't leave the Ghost River Triangle without intense pain, taking 10 points of damage each turn they are outside of it. This won't kill them; once they get to 0 Life Points, they're unable to do anything but burn and whimper, but they don't die. Because they regenerate, a revenant outside the Ghost River Triangle who gets unbound can take about one turn's worth of action every hour... usually crawling closer to the Triangle.
Other Qualities and Drawbacks: The Angel and Buffy the Vampire Slayer role-playing games have other qualities, some of which may or may not be appropriate to your Director's particular view of the Ghost River Triangle and beyond. While the vampires of Wynonna Earp are a bit different than those of the Buffyverse, the abilities of a Buffyverse vampire, plus a bit of Hypnosis from the Angel RPG, cover them just fine.
Peacemaker
Peacemaker is the Sword of Fire that angels (and others) wielded to guard the Garden of Eden, reforged into something a bit more appropriate for modern times (or, at least, the late 19th century). It now has the shape of a Colt Buntline Special, firing .45 caliber ammunition. In Buffy/Angel RPG terms, this makes it a "Big Pistol", but we all know it's a "Big-Ass Gun", so we'll say the combination of a 12" barrel, .45 Long Colt ammo, and being the Flaming Sword of myth and legend puts it into that category. It does 18 damage, and uses half of rifle ranges, rather than pistol range... so, 10/50/150, instead of 5/20/50, like pistols.
But Peacemaker isn't just a sword... err, pistol. It's also a blessed weapon, with a number of special abilities.
* When used against revenants and other demons, the wielder gains a +2 to Gun Fu, and the weapon does the wielder's Willpower in additional damage.
* When a revenant is shot between the eyes, a portal opens, and the revenant is dragged to hell. Shooting someone between the eyes is not easy; it is a -4 to Gun Fu (or combat score). However, it will instantly kill a revenant (and most other things).
* Peacemaker is physically painful to revenants, demons, vampires, and many other supernatural beasties. Even a touch inflicts 5 points of fire damage, and a full turn inflicts 10. This can kill many demons or vampires, but revenants (and others with Unique Kills) will just be injured.
* Peacemaker has a will of its own. Usually, it will serve the Heir without difficulty, but it's been known to refuse to work for a conflicted Heir, or zap an heir who might have slept a couple months too long. This will means that it can be a bit flexible on the definition of the Heir, allowing Willa and Wynonna to both be the heir for a while, or for Waverly to use it, despite her non-Earp pedigree.
* It doesn't come up often, but Peacemaker is also a key. If the Heir takes it out of the Ghost River Triangle, the Revenants are free until it comes back. And it can also open the gates to the Garden of Eden, if you can find where those are.