I'll toss a suggestion in here. Ocotal, Costa Rica. Far from tourists and private.
http://villaocotal.com/ Shitty website, but one of the best trips I've taken to a warm climate. Private house we had to ourselves and a few family members. On site bar tender, cooks and waitstaff. 24/7 stocked bar and live music every other night. Even had a daily concierge that provided everything we would want to do off site. Not a scuba person though. Some great fishing though - rooster fish, mackerel, HUGE amber jack.....
Another area worth checking out is Tulum, Mexico.
http://www.papayaplayaproject.com/ This place is cool - pretty remote, local yocal town, great food. Though we stayed down in Playa del Carmen. Pretty easy to get to and not a long ass flight.
