This exclusive offshore escape—host to presidents and royalty—is a destination unto itself. On a private 5 1/2-acre island accessible only by boat or seaplane, guests stay in thatched-roof bungalows amid lush foliage and flowering tropical plants—and Key deer, which are to this island what cats are to Key West (on my last visit, while having dinner I watched them swim right onto the beach). Many bungalows have ocean views and private decks with hammocks. Inside, the romantic suites sport all the comforts of a swank beach cottage, but without phones, TVs, or alarm clocks. Mosquitoes can be a nuisance, even in winter. (Bring spray and lightweight, long-sleeve clothing.) Known for a stellar spa and innovative (and of course pricey) cuisine, Little Palm also hosts visitors just for meals. If you’re a guest, opt for the full American plan, which includes three squares a day.