I searched the MLS now and with minimum 3000 SF, Pool, in a gated community 12 homes, unfurnished, came up in those areas.
12 Homes also appeared as furnished annual rentals.
Perhaps there are some homes you have not seen before. Feel free to contact me so that I may email you the list with photos, etc.
Linda Bassitt, P.A.
Lowell International Realty Group
340 Royal Poinciana Way, Suite 314
Palm Beach, FL 33480
Direct Line: 561.313.6961