Bette, the Dominican Republic, especially the Punta Cana area, is very very relaxing. I would suggest Secrets Excellence, Paradisus or Riu Palace. Secrets is adult only, no children, so it is really quiet.
I have stayed at Riu Palace, which was probably the most relaxing vacation I have ever taken. We sat on the gorgeous beach under a palm tree for a week :)
All three of these resorts are all-inclusive. Secrets has the most ala carte restaurants of the three mentioned. Paradisus has the better casino and Riu Palace has great public rooms and probably the prettiest beach I have ever seen.
Don't let those pictures fool you, the people in those brochures must be from another planet as they are all so perfect!!
Which resorts were you looking at?