When Àni Villas Anguilla opened four years ago, staying at the 10-bedroom vacation rental (split between two separate private villas) was a lesson in decompression. Now, with a state-of-the-art kite-surfing package launching this spring, the quiet Caribbean getaway is as much a destination for thrill seekers as for beach loungers. The seven-day program begins with round-trip private airfare from anywhere in North America via Private Jet Services for up to 14 guests. Over the week, guests will receive more than…