With Mamma Mia! set to end its Broadway run on Labor Day, the Broadhurst Theatre will go dark, but not for long. William Goldman’s stage adaptation of the ultimate trapped-by-a-fan thriller, the basis of the 1990 Kathy Bates/James Caan film for which he penned the screenplay, will begin performances October 22 at the Shubert-owned house, with opening night on November 15. The 16-week run will star Willis as a novelist rescued by his “Number One Fan” Annie Wilkes…