So! This is just a random musing by me, as regards a possible campaign type.
Suppose that one day, out of the clear blue sky, your group are abducted at gunpoint, flown to the Caribbean, and told "Welcome to your new homes, ese."
Kane has forcibly installed you as El Jefe of a Caribbean island, one that the Caribbean League either does not care about, or is impotent to take back.
Your mission is not at all simple: Kane instructs you to set up this island with an economy, and attract a working population; basically, to make it a place he can sail in and offload his goods, buy more supplies, and sail out again. As long as you're satisfying those requirements, he doesn't care what else you do with the island, so you can either turn it into the Redmond Barrens of the Caribbean or try and build it into an actual, working island paradise. Kane has promised that he won't be pirating up your island, and anyone else who tries to pirate up your island will answer to him, so you have a leg-up in that department compared to, say, the rest of the Caribbean.
Does that sound like an interesting game?