I know Negril Escape is closed for the month of September, so that may be why you didn't get a response. Don't know about the others, but I think its unusual that you didn't hear from any of them.

Try sending your questions to Negril OneStop - they are very responsive and can probably respond to you with the availability of each of these hotels in a single e-mail. I would be surprised if some of these places are fully booked already.