We booked Woodsmoke last month. Have not been there but it looks promising. On Edit: I called several of the nicer places around Ft. Myers before finding one that was not booked full. I know better, should have done it 6 months ago but unsure of plans for next winter until last month.
Check out Sanctuary Resort in Bonita Springs. It's new and they may have availability. We stayed there last year and will be staying again this year. Not a lot activities, but a nice quiet place to stay. A restaurant and nice pool. Just a couple miles from Ft. Myers.
2015 Class C Thor Four Winds 31L. Toad is a 2012 Chevy Equinox.
Red Coconut is awesome but VERY expensive and the sites are tiny. I think it would be good to stay there for week or so to experience ocean front camping, but for a longggggg stay... The previous poster is right on about a Woodsmoke, but Is a distance to drive to the beaches. Gulf Waters RV Resort is beautiful and close to the beaches.