WASHINGTON — Rocco Landesman, a producer known for bringing such hits as "Big River," "Angels in America" and "The Producers" to Broadway, has been nominated as the next chairman of the National Endowment for the Arts, The New York Times reported Tuesday. President Barack Obama's decision to choose the 61-year-old Landesman could shake things up at the NEA, which provides funds to arts groups throughout the nation. Landesman is expected to lobby hard for more arts money.