Barbuda. It’s one of the most untouched islands in the Caribbean, a sand-filled spectacle of impossibly beautiful beaches and pristine reefs. It’s a little less than 40 miles from its sister island of Antigua. And while there are flights and a ferry, there is one spectacular way to arrive on the island: by helicopter. That’s where Antigua-based Caribbean Helicopters comes in, a terrific company that offers flights between the two islands — in style. This is what it’s like to fly there.