You can find this activity all over Roatan. Half moon bay is a great spot for this with an interesting calm bay. The more adventurous can venture around into the west end bay, this is hard to appreciate otherwise spots like the Blue Marlin you can catch a drink from and see the diving goings on for example.
A more recent paddle boarding has also arrived and in half moon bay. The only thing to watch for is the reef but its easy as you get full instructions and guide. Its harder to actually fall off !
This sport is sweeping the world and it hasn't missed Roatan. Available at several places like just next to sundowners in Half Moon Bay - Steve's Paddle Shack. Watch out for the coral and the winds some people have gotten stuck the author towed (at great damage to the reef) some unlucky tourists !