I really doubt that you will get into the Red Coconut at that time of year unless you made reservations a year ago. Having three RV's is going to make it even harder to get into a park. Here are a few that you "might" be able to get into, they are all Pass Port America. It would be worth the $44 membership to get the 1/2 price but keep in mind some of these parks have black out times. In Florida it is usually during the winter months.
North Ft. Myers:
Fox Mobile Home Park 239-995-4695
Jones Mobile Home & RV Park 239-768-1234
Pioneer Village 888-318-1243
Swifts Trailer Park 293-997-4636
Tamiami RV Park 239-997-2697 866-573-2041
Upriver RV Resort 239-543-3330
We've never stayed in any of these because we are from this area. If I can help in any other way please feel free to PM me.
