This forum covers the entire Caribbean. It's always useful to indicate what island/country you are referencing. It may help you get more relevant responses. There is Oyster Bay Beach Resort in St. Maarten, Excellence Oyster Bay in Jamaica, and even Oyster Bay on Long Island, NY, just as examples. The latter is obviously not in the Caribbean, but shows it is a somewhat common name.
Of those three, I have only personally visited the St. Maarten location, in case that is the one you mean. It's a nice resort on the Dutch side of the island, just south of the French side border and gets generally good reviews. Unfortunately, I haven't actually stayed there, so can't help with unit configurations. Good luck.