In January, more than 20 former Miss America spent a weekend with their sisters in a rented mansion in Kisemi, Fla. There are swimming, spa, and Mini Game with Miss America’s old board game. But Gretchen Carlson, the veteran television news host who played Miss America, the first violin in 1988, could only spend an hour or two there. She is on a business trip there. She was appointed the new chairman of Miss America a few weeks ago after a nasty email leak that led to a complete purge of old leaders. Now Carlson is here to tell her …