We have had drinks at several places on the beach, Treehouse, Sheritas, Margueritaville, Sunbeach, Kuyaba, several others and the cliffs, Ivans, Ricks, LTU, Xtabi, Negril Escape. All are great places to sit and relax with a cocktail. I intend to try a few more next stay.
Pick anyone, they are all good, and I am sure you will enjoy it.