The Beatrice Inn is coming back — but not in the West Village. The famed nightclub on West 12th Street — a favored haunt of the Olsen twins, Josh Hartnett and other assorted downtown scenesters — was shuttered earlier this year by city officials after numerous noise and smoking violations. Now, a source close to the club’s management tells us that owner Paul Sevigny will be opening a new, bigger space across town. “It won’t be in the Puck Building or at Civetta in NoLIta,” says our source, dismissing the two most popularly rumored options. “The space they’re looking at is in NoHo. They want to create a modern Max’s Kansas City [the former Warhol hangout on Park Avenue that had a restaurant downstairs and a nightclub upstairs]. There will be a live music component and a low-key downtown artist vibe.” Sevigny could not be reached.