Cady Huffman is among the thesps signed on to join Nathan Lane in “The Nance,” the new play by Douglas Carter Beane that Lincoln Center Theater will bow on Broadway.Huffman scored a Tony in 2001 for “The Producers,” in which she also appeared opposite Lane. Jenni Barber (“The Performers”) and Andrea Burns (“In the Heights”) also have come aboard the show, joining a cast that also includes Jonny Orsini and Lewis J. Stadlen (“The People in the Picture”). Jack O’Brien (“Hairspray,” “The Coast of Utopia”) helms the production, about the onstage and backstage life of a man (Lane) who portrayed the traditionally campy gay character in a 1930s burlesque show. Show will be the second Broadway outing this season for Beane (“The Little Dog Laughed”), who is also penning the new book for March opener “Cinderella.” “Nance” begins previews March 21 prior an April 15 opening at the Lyceum Theater. Also on the spring docket from LCT are Richard Nelson’s “Nikolai and the Others,” helmed by David Cromer (“Our Town”), and Rebecca Greenidge’s “Luck of the Irish,” each in one of LCT’s Off Broadway spaces.