In a veritable sea of white-sand beaches and turquoise waters, St. Kitts & Nevis stand out from the Caribbean crowd: Their big draw for travelers is a rich cultural history. People come to see the capital’s Georgian architecture; to explore Brimstone Hill Fortress, a UNESCO World Heritage Site; and to ride the “sugar train,” a scenic trip on tracks that once carried sugar from outlying plantations to the factory in Basseterre, the country’s capital.