I think Orient Village is kinda unique but here are a few places near/on Simpson Bay.

BSV...on the water. Quiet....great view. Walking distance to a few places to eat and if you are a decent walker (and it's not dark) a few more at Sunset Beaccccch area

SB Resort or Villas....decent small beach. Lot's a places to eat within walking distance

La Vista...nice place...great view...minimal beach...a little further to walk but not a biggie

Flamingo....between SBR and La Vista....nice pool. Beach the same as SBR. Recently remodeled

Royal Palm, Royal Islander, and others. Other than BSV the others most likely would be private rentals but direct renting is possible

I'll stop there