Bowling Green As a freshman at
Bowling Green, Doege battled with
James Morgan throughout the season for the starting quarterback position, eventually winning the job by the end of the season. In seven games, he passed for 1,381 yards, 12 touchdowns, and 3 interceptions. Doege was named the starting quarterback at Bowling Green for his sophomore season after Morgan's transfer to
FIU. In his first season as the starter, he passed for 2,660 yards, 27 touchdowns, and 15 interceptions.
West Virginia On May 8, 2019, Doege announced that he was entering the transfer portal and leaving Bowling Green. Eight days later, he committed to West Virginia under head coach
Neal Brown, who had coached his brother
Seth as an offensive coordinator at
Texas Tech. He was redshirted, but he was able to play in four games under the NCAA's new transfer rules. Playing behind starter
Austin Kendall, he passed for 818 yards, 7 touchdowns, and 3 interceptions. During the 2020 season, he threw for 2,587 yards, 14 touchdowns, and 4 interceptions while
West Virginia finished with a 6–4 record. On December 31, 2021, Doege announced he would enter the transfer portal once again.
Western Kentucky On January 16, 2022, Doege announced he would transfer to
Western Kentucky. However, he lost the quarterback competition during fall camp, and would enter the transfer portal for the third time.
Troy On August 18, 2022, Doege announced he would transfer to
Troy. During the season, Troy beat
Western Kentucky 34–27 on October 1. Doege came in the game for injured starter
Gunnar Watson and completed 7 of 8 passes for 71 yards and 2 touchdowns. Doege referenced a similar quote by
Seattle Seahawks quarterback
Geno Smith when he said, "They wrote me off, I didn't write back though." via Instagram after the game. ==Professional career==