As a sophomore, he led the Penguins to an 8–1 regular season record and the school's first appearance at the NCAA Division II playoffs, where they lost against the University of Delaware.

The Steelers won the AFC Central with a 10–6 record and stumbled into the playoffs, but were quickly dispatched by the Los Angeles Raiders.

In 1984, Stoudt left the NFL and signed with the Birmingham Stallions of the United States Football League.

The third game of the season was the home opener for the Pittsburgh Maulers on March 11 at Three Rivers Stadium, Stoudt was heckled and pelted with snowballs by fans who remembered his lackluster performance of a year earlier.

He led the Stallions to a two-year record of 27-9 (no other team won more games), while passing for 6,479 yards, 60 touchdowns and 26 interceptions.

Because the Pittsburgh Steelers still owned the rights to Stoudt, on September 1, 1986, he was traded to the St. Louis Cardinals in exchange for a conditional draft choice (fifth round #121-Darin Jordan).

Although he performed well during most of training camp, he was released on September 3, after he had two interceptions returned for touchdowns in the Dolphins' 20-10 preseason loss against the Philadelphia Eagles and Scott Secules was promoted as the backup to Dan Marino.

On December 24, 1990, he was signed by the Dallas Cowboys, to be an emergency back-up quarterback to Babe Laufenberg for the season's final game against the Atlanta Falcons, after Troy Aikman suffered a right shoulder injury in Week 15.

On August 25, the Cowboys traded for Steve Beuerlein to improve the backup position and released Stoudt the next day, opting to keep just 2 quarterbacks.