Forbidden Island Roleplaying?

I was playing Forbidden Island with some friends, and I thought it would be a great idea to slap some roleplaying on top of it. Basically keep the same game structure and theme, roles, etc., but in the first person with a GM. Potentially slow down the flood phases, but make them more dangerous as well, things to make it a more enjoyable RPG. Has anyone attempted this? What would be a good system to work off of?

EDIT: Some people seem to be confused about my intent on this. I'm not really trying to make new rules for this game. I was playing it with friends and noticed the lush environments on the tiles, and was thinking about adding a tabletop RPG spin on it, with characters and the sort of in-character "acting" that happens in a game like D&D. It seemed like a good game to add that to. I'm not replacing the old game, just thinking of an alternative way to enjoy it.