The out-of-town tryout for Broadway-targeted tuner “Big Fish” has set Chicago dates and a creative team, with the show locking in a five-week run beginning in April.Julian Crouch (“Shockheaded Peter,” “Satyagraha”), the director-designer who was a designer and original co-helmer of the musical adaptation of “The Addams Family,” creates the set. William Ivey Long, a frequent collaborator with “Big Fish” director Susan Stroman (“The Scottsboro Boys,” “The Producers”), is onboard, as are lighting designer Donald Holder (“Golden Boy,” “Spider-Man: Turn Off the Dark”) and sound designer Jon Weston (“How to Succeed in Business Without Really Trying”). Benjamin Pearcy for 59 Prods. (“War Horse,” “Satyagraha”) provides the projections. Norbert Leo Butz, currently appearing opposite Katie Holmes in the Main Stem play “Dead Accounts,” is already cast in the lead role in the musical based on the 2003 Tim Burton movie that starred Ewan McGregor. Storyline of the tuner, which has music by Andrew Lippa (“Addams Family”) and book by original screenwriter John August, centers on a young man who sets out to discover whether his father’s tall tales are true. No Broadway plan for “Big Fish” has yet been mapped out, although it’s generally assumed that if response in Chicago is strong, the show will make its way to Gotham sometime in the 2013-14 season. Dan Jinks and Bruce Cohen, producers of the film, and Stage Entertainment (“Sister Act”) produce the legit incarnation with Roy Furman, the Nederlander Org, John Domo and Broadway Across America. Windy City tryout for “Big Fish” starts April 2 ahead of an April 21 opening.