Radford played several positions on the football field, including quarterback his senior season in 1967 when the Wildcats won their first district title and advanced to the playoffs for the first time in school history. Radford made his name known on defense where he set a school record with 12 solo tackles and 21 total tackles in a game with Russellville.
For his efforts, Radford was named to the All Western Kentucky Conference Team that combined Classes 1A and 2A.
Radford was also a three-year starter on the Wildcat basketball teams and became only the second player to average over 20 points a game when he averaged 21.3 his senior season in 1968. Radford was an all-district and all-region performer and finished his basketball career with 1,228 points, which was third highest in school history when he graduated. His career scoring average of 18.05 points also ranks third best in school history.
Radford played college football at Jacksonville State College in Alabama where he was a three-year letter winner for the Gamecocks, playing primarily on defense.
Accepting the award for the late David Radford were his sons Lamar and Stevie Radford and brother Eddie Radford.