Brammer played college football for the North Texas Mean Green from 2018 to 2021.[1][2] He was redshirted in 2017.[1] He played in seven games, starting four, in 2018. He started the first nine games of the 2019 season before becoming injured. Brammer started all ten games of the COVID-19 shortened 2020 season, earning second-team All-Conference USA honors.[1] He started all 13 games in 2021, garnering honorable mention All-Conference USA recognition.[1][3]
Brammer transferred to play for the Vanderbilt Commodores in 2022.[4][5] He appeared in all 12 games, starting 11, during the 2022 season, and was also named to the SEC first year academic honor roll.[6]
Brammer was signed by the Saskatchewan Roughriders of the Canadian Football League (CFL) on December 22, 2023.[11] He was moved to the practice roster on June 1, 2024.[12] He was promoted to the active roster on July 18,[12] and made his first CFL start on July 19 after an injury to Jermarcus Hardrick.[13][14][15] For his performance in his CFL debut, Brammer was named to Pro Football Focus' CFL Honour Roll for Week 7.[16] On July 31, he suffered a hamstring injury during practice and was placed on the one-game injured list on August 2.[17][18][12] He was later transferred to the six-game injured list on August 8.[12]