The Sibonne is a boutique hotel with 26 rooms right on Grace Bay Beach. We stayed there last month. It was very nice.
The Sands is next door on the right and the Palms is two down on the other side.
This on-line map helped us when planning our trip:
We cut through Hemmingways at the Sands most everyday to get to the sidewalk and walk to Salt Mills. Unless you have kids or like to be around them, it would not be the best choice. It looked like a smaller version of the Beaches Resort.