Yes you do need to explore the country some. Either on one extended visit or multiple visits to various areas. Planner has told you about the la Romana area.
Here on the north coast (sosua/cabaret area) which is about 4 hours or so from la Romana we have a huge Expat community and a good mixture of locals, tourists and Expats. We have 5 major super markets (between 5 min and 25 min from our home) including la Sirena, Playero, and Super Pola.. One part time movie theater. and multiple beautiful beaches with all they have to offer.
Bob K