Crowe played college football and basketball at the University of Notre Dame. He earned three letters in basketball and was a basketball All-American. He also earned three letters in football under Coach Knute Rockne. Crowe played football from 1923 to 1925 and was a two-time All-American. He played end for Notre Dame's "Seven Mule" team and was named Notre Dame's football captain in 1925.
After graduation, Crowe took a position as a coach at Saint Vincent College in Latrobe, Pennsylvania. There he coached the football team from 1926–1931, compiling a record of 23–27–3, and the basketball team from 1928–1932, tallying a 41–31 mark in four seasons.
Crowe left Saint Vincent in 1932 and took a job at Xavier University. He coached the Xavier basketball team from 1933 to 1943 and had a 96–79 record in ten seasons. He also coached the Xavier football team from 1935 to 1943 and compiled a 46–32–2 record. In addition, Crowe was a baseball coach and a golf coach at Xavier. He was inducted into the Xavier University Athletics Hall of Fame in 1994.
Crowe left Xavier in 1943 and returned to his alma mater. He was an assistant football coach at Notre Dame in 1944 and the head basketball coach for the 1944–45 season.