Jamaican guys may hit on you but I haven't found them to be grabby either. (I found Mexican men to be much worse.) Have you traveled alone to similar places? How have you handled this issue on other occasions?
I'm also a little confused because you initially talked about wanting to meet lots of people. I am guessing now that means other tourists not Jamaicans?
If the thought of Jamaican men trying to pick you up is disgusting, then perhaps Miyard is not the place for you.
Again, I'm not really sure what to say. I don't think you should not go to Jamaica but as to where you should stay, sounds like you want one of the many places that are cloistered pretty much from the outside world.