It would probably be less expensive and easier for you to get to and stay at the Coconut Planation, as your first venture down south. And the Plantation is an outstanding property. I do rate it higher than the Beach House, i.e. over all attractiveness, facilities and setting on the golf course etc. If you search this forum, you will find several threads describing the attractions of the Planation and the area around it (Bonita Springs, Estero, Fort Myers, and Naples). I was one of the first owners at the Coconut planation, and it's something I've never regretted. And I have stayed at every Hyatt (VC) Residence Club in the system and do / have owned at 4.
Perry