Johnathan Dickinson State Park just outside of Jupiter, Florida has rental cabins. Go to www.reserveamerica.com
and check out others in Florida. Florida has wonderful state parks but book early, like right now for that time of year! There is a state park just east of seven mile bridge midway down in the keys that has cabins as well now that I think of it. Beautiful location! If you can't get a reservation at a state park this late in the year for the coming winter, you might check some of the private parks by going to www.woodalls.com
Good luck with your search.