Honeymoon in Jamaica for a Jamaican in Jamaica?

I live in Jamaica and I'm planning to get married here in a few months. Do you have any relatively inexpensive ideas for a local honeymoon? Off the beaten track (not Negril, Ocho Rios or Montego Bay). I never do the "tourist-y" stuff like going to Dunn's River Falls or anything; I want something laid back where there's some privacy. Any idea of the cost?