That year Dunham began attending Baylor University, hoping to graduate with a degree in communications, while performing around campus. He would also fly around the country on weekends, doing up to 100 private shows a year, entertaining corporate customers such as General Electric, whose CEO, Jack Welch, he mocked during his routine. By his junior year in college (1983–1984), Dunham was making $70,000 a year, and as word spread of his act, he landed featured spots opening for Bob Hope and George Burns, though he still perceived his act as raw, as he did not have any knowledge of standup comedy beyond his Bill Cosby albums. He caught a break in 1985 when he was asked to join the Broadway show "Sugar Babies" with Mickey Rooney and Ann Miller, replacing the outgoing variety act. For the naive and devoutly-raised Dunham, Broadway was a new world filled with beautiful showgirls and crusty stagehands, and his first taste of entertainment industry egos came when Rooney called Dunham into his dressing room, and told him he was there for one reason alone: so that Rooney could change his costumes. Dunham also performed at the Westbury Music Fair on Long Island. These early experiences, in which he used characters like José Jalapeño on a Stick, taught him the value of modifying his act regionally, as the jalapeño jokes that worked well in Texas were not as well received by audiences in Long Island.