There's a few other adventures on itch, though I haven't tried them out A few small settings are here. You can search for the tags thirsty-sword-lesbians or powered-by-lesbians there

Age of Ravens also did a Star Wars setting called Thirsty Force Nightsisters, which you can watch a playthrough of here and here

Stats or PC qualities being generated for you

In at least one version or Paranoia, states are generated by your neighbors who will assign positive and negative stats. I forget which version, I think the card based one. It's fun to embed that pvp mindset in the game early on.

Shooting the Moon is about a romantic triangle, meaning live interest A and B take opposite qualities.

The Cypher system people did put out a weird west book, sounds like a decent fit. Though honestly I think most any generic system would work pretty ok.