One of the best on the island is Madamn Jennetts. Its been highly recommended here many times over recent years.
Food, atmosphere, live nice familiar U.S. music while dining is great. Call for resv. as soon as you can when you get on the island.
Outside seating is intimate and very pleasant. You can even dance to a favorite song if you please.
Many more good suggestions I'm sure will follow.
All the very best to you and yours and one last suggestion: Use a good high rated sunscreen even if you sit in the shade.