Hi! I live in Puerto Rico, and my dad lives in Vieques part of the year.  There are many beautiful beaches in Vieques! But our favorites are the ones that are secluded like Secret Beach or  Pata Prieta Beach, Caracas (Red Beach),   Sun Bay Beach (horno), Media Luna and Navio Beach.  You can also try Tin Box (a new place for relax hangout & eating), Duffy's for eating and  Lazy Jack's for a good time and they have a few things to eat, all this at  La Esperanza. I always recommend Casa de Tortuga to stay in your visit to  Vieques.  If you have any other question, feel free to ask!! 

I have traveled to Vieques and absolutely loved it! I stayed at a little hotel called The Birdsnest Inn and it was delightful. The beaches are amazing and much less crowded than those on the main island. I highly recommend doing the Bio-Bay tour (bioluminescent bay) where you will kayak at night out into a bay filled with microscopic critters than glow neon green with any movement. Its an experience not to be missed. Not sure if he is still guiding, but ask for Abraham...he looks like a pirate so you'll know its him! I'm happy to answer other questions if you have them. Or, if you'd like a detailed description of my Vieques experience feel free to check out my book Vacation Therapy available on Amazon.