There are lots of places that are pet friendly as long as you are a responsible pet owner and all that that entails. Your biggest problem will be finding a place at as it is getting late for reserving in Florida. There are still places but you will have to hunt for them a little harder. Try Trailer Life, or Woodalls, or type in "Florida Camping". Florida is loosing campgrounds, and gaining RVers so it is getting tight. But, you should still be able to find something. Good luck.
98 Gulf Stream