I did a search on the Travel Channel website and couldnt find anything about that show, but I found that they're airing a show called Exotic Islands with an episode on the Belize Cayes on 1/25 at 2:30PM (EST?). They have a pretty cool reminder system whereby if you enter your email address they'll email you a reminder the day before a show you dont want to miss. (then probably sell your email address to every vacation-related direct marketing company in the world)

The URL is http://travel.discovery.com/schedule/episode.jsp?episode=771926023