The team first played in the tournament in 2017 under the name Scarlet & Gray, and won the championship in 2019 and 2024.

The TBT team is an independent entity that was previously named after the college team's colors (scarlet and gray), and is currently named after Ohio State's school song ("Carmen Ohio").

During TBT 2017, team competed under the name Scarlet & Gray, and were the No.

For TBT 2019, team adopted the Carmen's Crew name, and were the No.

As of 2024, 36 total players have played for the team, 20 of which are Ohio State alumni.