Malena Beach
Snorkeling, swimming and just hanging out are the things to do around here. Also, is is not far from Dakity and Fulladosa bays so you may take a kayak and explore. Hiking would be beautiful around this area, there are many cacti and low brush. You may also encounter some thorny bushes that may wrap around you as you walk by.
In Malena you will find a few old wooden houses, but they are uninhabited. Malena is part of the Nature Reserve and no construction is allowed (anymore).
From Malena you can see St. Thomas, if you walk to the rocky SE point you can also see Vieques.
If you are an early riser or arrive during full moon, Malena would be a perfect place to enjoy both!