I assume you're staying at Beach Club--no reason to go out of your way for Hurricane Hanna's!
I doubt the quality is very different, since they're both basic quick service locations, so I'd look at the menus on Allears.net and see which one's non-burger offerings interest you more:Lottawatta, Hurricane Hanna's
I think it probably comes down more to timing than anything; if you don't expect to get to BB until 2 or 3, you probably don't want to wait that long for lunch. If you expect to get to BB by 1, you might just prefer to get to the water park.