The Bioluminescent Bay in Puerto Rico closest to your Rincon Vacation Rental is the the Bioluminescent Bay off of the coast of La Parguera.
You'll find several informational sites on this Bay so you can decide if you'd like to make it one of your adventures while on your Rincon Vacation! A site and source we like best is La Parguera Puerto Rico. From their site "La Parguera, a Caribbean dream, is a small fishing village in the town of Lajas, Puerto Rico; located on the southwest coast of the island. La Parguera is one of four areas in Puerto Rico that has a very unique and remarkable night time phenomenon, a Phosphorescent Bay. The Bioluminescent Bay is actually made up of two bays, Bahia Monsio Jose and Bahia la Parguera; when the still waters are disturbed they glow with millions of microscopic organisms known as dinoflagellates which sparkle and create a spectacular light show. This phenomenon occurs only in tropical areas, typically in mangrove-protected bays such as the one found here at La Parguera. Puerto Rico is the only place on the planet that has three sites where you can depend on this phenomenon to occur every night, La Parguera being one of them. The bay is best observed during a dark moonless night"