For the Caribbean’s winter season, villa vacations are in high demand. These four island residences in St. Martin, St. Barts, St. James, and Anguilla deliver on location, design, service, and amenities. Each oceanfront property provides a slice of paradise in some of the most exclusive enclaves in the region. In the following slideshow, tour the stylish interiors and backyard aquatic playgrounds, letting winter’s dreams of sugarplum fairies be replaced by the wishes for warm white-sand be…