Caneel Bay resort on St. John, U.S. Virgin Islands, has the requisite high-end-hotel accoutrements: private water shuttle, dive center, tennis courts, gorgeously landscaped grounds. And then there’s the beekeeper, Elmo Rabsatt Sr. “They love it here,” Rabsatt says of his five-star swarm.The retired National Park Service ranger tends the 170-acre resort’s three hives; their annual bounty—about 135 pounds of organic honey—is drizzled out to Caneel Bay’s restaurants, bars, and spa and will soon be sold at its gift shop.Ecological correctness comes naturally to St. John, where a national park protects two-thirds of the forested, 20-square-mile island. It’s not only Caneel Bay that’s going apiarist: Rabsatt estimates he’s also taught beekeeping to approximately 50 residents—an impressive number in a place with a year-round population of less than 4,200. “It’s a plus for everyone: the bees, the people, the flowers,” he says. “Everyone’s profiting.”The...