Name sounds more Cotswolds than Hamptons. Elite luxe inn draws a-listers to chic and sleek rooms in old Bridgehamton mansion. Architectural Digest worthy pool area and top class Spa by Naturopathica. Tom Colicchio no longer helming restaurant, but chef Kyle Koenig still does exquisitely sourced local fare. Bring the entourage for whole spit-roasted pig.