Trinidad South is a nice secluded area to request. It is farther away from everything though...you have to walk across a street in the resort to get to the main pool, shops, food court, etc. If you want something close that is a little more secluded try Aruba or Jamaica.
I just stayed there in October and was in Jamaica 4450 and it was about 6 minutes to Old Port Royale (food court, pool, etc) and about 3 minutes to the bus.