Good luck trying to get a Hamptons hotel or rental in June — usually the easiest month of the summer season to book. Golfers and fans are an obsessed bunch, willing to pay big bucks to attend the US Open at Shinnecock Hills Golf Club in Southampton, June 18 to 21. That course is certainly beautiful, but it’s just one of the famed clubs that attracts duffers to the area. Access to private clubs in the Hamptons can be prohibitive to say the least — even if you can pass the social demands: