You could also add YS Falls to your Appleton trip. We did and it made for a great day.
Another awesome albeit ambitious day trip is Nine Mile in St. Ann's, the birth and resting place of Bob Marley. It's a lot of driving but through some of the most beautiful scenery you will ever find. Leave early and on the way go to the Rocklands Bird Sanctuary outside of Montego Bay. On the way back stop at Luminous Lagoon/Glistening Waters in Falmouth for an amazing and magical experience. It must be seen after dark so have a leisurely dinner before you take the boat ride. This is as I said ambitious and will get you back to Negril fairly late but it is a day you will never forget, trust me.
Bless...
Ed