He played college football at Ohio, and was selected by the Indianapolis Colts in the third round of the 2017 NFL draft.

He also blocked a potential game-winning field goal by Salem High School, helping the Eagles defeat the Spartans in football for the first time in 30 years, 14-13.

He received All-Western Valley District, AAA All-Northwest Region and Timesland Defensive Player of the Year honors.

Following high school, Basham attended Hargrave Military Academy for a year, before committing to Ohio University.

As a senior, he contributed to the school winning the Mid-American Conference (MAC) East Division title for the first time in five years.

He recorded a school-record 11.5 sacks, along with 50 tackles (16.5 for loss), 12 quarterback hurries, two passes defensed and two forced fumbles.

[4][5] During his career, he started 37 out of 51 games, contributed to the school making three bowl game appearances, while totaling 158 tackles, 41.5 tackles for loss, 6 passes defensed, 5 forced fumbles, one fumble recovery and a school record 29.5 sacks.

In week 16 against the Pittsburgh Steelers, Basham recorded his first career interception off a pass thrown by Devlin Hodges during the 16–10 win.

[15] In 2020, he started a career-high nine games, making 33 tackles, 3.5 sacks, 3 forced fumbles and one pass defensed.

[20] On March 11, 2024, Basham signed with the San Antonio Brahmas of the United Football League (UFL).