Group Looking For Suggestions

Greetings hivemind!

I'm in a bit of a conundrum: I need to find a system that either already exists or can be/is adapted from another system. I've tried doing a Google search for what I thought the original system was called and couldn't find anything. I believe the original website that held the adaptation rules is no longer up. To be fair, though, I never got the name of it.

I will try to describe the game I played years ago (on mobile, sorry if the formatting goes wonky):

- The story for the night had to be completed in a single session.

- Character mortality rates were high, it could sometimes be weeks of rolling a new character every game night.

- Any player could conduct the game for that night.

- Stats were done with dots for the number of dice to roll.

- XP was earned either for surviving, surviving and completing the objective or running the game.

- This xp was then used to purchase additional dots (dice to roll).

- Character creation was super quick, though I've forgotten most of the details. All I remember was that since it was so easy and fast, the high mortality rate wasn't too bad and was actually kind of funny.

That's about it. I know it is likely frustratingly vague, but I would be super appreciative of any suggestions (whether this is a game you recognize or you know of a game that could be quickly adjusted to fit the format) from you all, as this would potentially save me from having to completely design this from scratch.

Thanks everyone!