After a visually stunning flight from San Juan west across the northern Puerto Rican shoreline I land at the Punta Cana International Airport with its open-air breezeways and palapa (thatched) roofs. High up, a yellow-throated warbler flits in the rafters. At the eastern end of the island of Hispaniola, Punta Cana has become the fastest-growing zone for luxury megaresorts in the Dominican Republic. Part of 186 properties in 17 countries, the family-owned Barceló Bávaro Beach Resort boasts 1900 rooms and a P.B. Dye 18-hole tropical golf course The Lakes alongside a sparkling white, palm-strewn 1.2 mile beach and shallow coral reef...