Coccinelle, don't let the silly boys (and a girl or two) scare you. The chances of you even SEEING a snake are pretty slim, the chance of one causing you problems are infinitesimal -- and frankly, you are not improving your chances by moving to a hotel... unless it is outside the state of Florida (or GA, AL, MS, LA, etc)! If you are really that scared, may I recommend
DisneyLand California, or Disneyland Paris? You are about as likely to see a snake at the parks as at FW. I have spent a lot of time walking along the canals, and along the beach, and the nature trail to the WL looking for wildlife and I have seen 1-2 snakes (harmless rat snakes) and NO gators. I have seen wild turkeys, deer, commando squirrels, otters, rabbits, and armadillos. Nothing to be afraid of. Unless you are planning on renting a canoe and going to the swampy areas and beating the water-side trees with your paddle, I seriously doubt you will see any creature that could do you harm.
That said: if you are really petrified by the mere thought of possibly seeing a snake (or spider, or lizard, or ...) then maybe camping is not for you and that just means more availability for us "hardy" Fort Folk! LOL