Craig played college ball at the University of Tennessee. His final two years were under the tutelage of a former punter, Legendary Head Coach Johnny Majors. Coach Majors spent a lot of time with his young punter, helping to change Colquitt's productivity and eventually bringing attention from NFL teams.
Craig was drafted in the third round of the 1978 NFL Draft. He spent eight seasons in the National Football League (NFL) with the Pittsburgh Steelers (1978–1981, 1983–1984) and Colts (1987). He was a member of two NFL championship teams with the Steelers in Super Bowls XIII and XIV.
His Sons Dustin and Britton also played for the Volunteers and later won their own Super Bowl rings punting in the NFL.
