Here are just a few...
Negril
Cliffs: Catcha Falling Star, Blue Cave Castle, Xtabi, Negril Escape, Home Sweet Home Resort, Blue Fields Bay Villas
Beach: Kuyoba, Idle Awhile, Sea Wind Resort, Sunset on the Beach, Crystal Water Villas, Coco LaPalm, Charela Inn, Rondell Village
Montego Bay
Round Hill Hotel & Villas
Coyoba Beach Resort
I called or emailed many more, and I visited several this May when I was in Jamaica. Let me know if you have questions about these or other venues.
Hope this helps as a starting point.