There are many, many places that you can store RVs in FLA. A lot of Self Storage facilities offer space. That's where I store my camper when I am not using it. Remember that not all have 120 volt electric available, so a small solar panel (15-30 watts) is a good way to keep your batteries charged up.
Google "Uncle Bob's Storage" Lots of locations in FLA.
2008 Itasca Meridian 37H & 2015 Flagstaff T12RBST
2011 & 2012 Len & Pat's "One lap of America"
27K miles & 41 states in 13 months - Woo Woo
Yellowstone Lake 6-1-2012