“Summer House” must find elsewhere to summer. The second season of the reality series must be filmed somewhere other than East Hampton, according to 27East, after the town stood gave a hard “no” to the possibility of the show shooting a second season at a private house on Napeague Harbor Road. The town clerk’s office claimed the filming would violate the town zoning code, referring to the shoot as a “commercial operation.” It’s not the first time “Summer House” received the cold shoulder from Hamptons officials. “We are very concerned that this show promotes a false picture of Montauk as a raucous party town, when in fact the complete opposite is true,” Montauk Chamber of Commerce president Paul Monte told Page Six late last year. [27E]