Private islands are the ultimate indulgence for the rich and famous. And when we spent a week at Francis Ford Coppola’s Turtle Inn resort in Belize last year, the staff told us about Coral Caye—his private island that’s just a half hour boat ride off the coast. And when they said our family could have it all to ourselves for 3 days, we knew we had to see if the secluded beach life is all it’s cracked up to be.