[1][2] A 2-star recruit, Woodrum committed to play college football at Liberty over offers from Elon and Wake Forest.

[3][4] After redshirting as a freshman in 2011,[5] Woodrum became the starting quarterback for the Liberty Flames football team,[6][7][8][9] a position that he would remain in for the next four years.

[10][11] Woodrum led the Flames to three consecutive Big South Conference football championships from 2012 to 2014, including an appearance in the FCS playoffs in 2014.

[14][15] Along with North Dakota State's Carson Wentz, Woodrum was one of only two Football Championship Subdivision quarterbacks to receive an invitation to participate in the 2016 NFL Scouting Combine in Indianapolis.

[40] On November 27, 2018, Woodrum was selected by the Salt Lake Stallions with the eighth-overall pick in the Alliance of American Football's quarterback draft.

[41] He eventually started the Stallions' season opener against the Arizona Hotshots, where he threw for 103 yards, 1 TD, and 1 INT before leaving the game in the second half with a hamstring injury.