Brown Bay
A 20 minute hike from the main road to find this sandy spit of beach. The trail path goes up hill and then over the crest and then down hill for another 10 minutes or so to the water’s edge. You should be able to find a shady place to rest along the sandy and pebbly shoreline. Chances are pretty good that you will be able to enjoy the beach in privacy.
You will find decent snorkeling along the eastern side of the bay. If you have energy left for more exploring look for the ruins on the western side of the beach.