Schoene starred at the University of Tennessee at Chattanooga, where the 6-10 forward led the team to two straight Southern Conference championships (1981 and 1982) and an NCAA tournament appearance in 1982.

He was traded along with a 1983 first-rounder (23rd overall–Mitchell Wiggins) and a 1984 second-rounder (29th overall–Stuart Gray) from the 76ers to the Indiana Pacers for Clemon Johnson and a 1984 third-rounder (48th overall–Georgia forward James Banks) during his rookie campaign on February 15, 1983.

During the 1984–85 and 1985–86 seasons, Schoene played for Olimpia Simac Milano of the Italian league, where his teammates included former Los Angeles Lakers head coach Mike D'Antoni and former NBA All-Star Joe Barry Carroll.

Arguably his best NBA game was on April 24, 1988, when he had 20 points, four rebounds, a steal, an assist, and no turnovers in 33 minutes against the Los Angeles Clippers.

Schoene joined the Washington Huskies[3] men's basketball coaching staff in 2002, following five years as an assistant at Bellevue Community College.