For a sumptuous taste of the islands, sample the latest Caribbean restaurants. Serving Mediterranean fare in the DOMINICAN REPUBLIC, La Residence resides in the former 16th-century governor’s house in Santo Domingo (809-685-9955, In NEVIS, The Mill occupies the former sugar mill on the grounds of the Montpelier Plantation Inn, and serves four-course menus (869-469-3462, And in CANCUN, Labná creates authentic Yucatán food — think indigenous spices over Spanish meats — amid Mayan-inspired architecture (011-52-998-884-3158,