I am also allergic to bees and I live in Florida. In the WDW theme parks, I just make sure I don't sit outside near a lot of flowers. I've had the most encounters with bees at Downtown Disney. They have large pots of flowers everywhere and they are usually covered in bees. Not long ago, I sat down on a bench just across from Ghirardelli to eat a Mickey Bar. I was about half way through when a bee landed on my ice cream. Needless to say, it ended up in the trash very quickly.
If you are extremely allergic, do bring your epi pen just to be on the safe side and don't walk around with open food items. You should be okay.