After going undrafted in 2018, Streveler played two seasons as a backup quarterback for the Blue Bombers, where they won the 107th Grey Cup championship in 2019.

There, he threw for 6,081 yards and 54 touchdowns, earning the Missouri Valley Football Conference (MVFC) Offensive Player of the Year award in 2017.

[1] Streveler signed with the Winnipeg Blue Bombers of the Canadian Football League (CFL) on May 4, 2018, after going undrafted in the 2018 NFL draft.

He was expected to compete with Blue Bombers' quarterbacks Matt Nichols, Darian Durant and Alex Ross in training camp.

Instead of signing a veteran quarterback to lead the team, the Blue Bombers elected to start Streveler to open the season.

[6] Streveler continued to be utilized as a rusher and rotational passer, and finished the season by completing 86 out of 140 passes for 1,134 yards and 11 touchdowns against five interceptions.

Competing as a running option to Collaros, the West Semi-Final victory over the Calgary Stampeders saw Streveler set a CFL playoff record when he took 23 snaps at quarterback without attempting a pass.

[11] Following the season, it was reported that Streveler had scheduled workouts with three NFL teams: the Arizona Cardinals, Tampa Bay Buccaneers and Miami Dolphins.

[15] Streveler made his NFL debut on September 13, 2020, playing one snap and rushing three yards for a first down as the Cardinals defeated the San Francisco 49ers 24–20.

[16] Streveler took over as quarterback in Week 17 (January 3, 2021), replacing the injured Kyler Murray and leading the team to a 18–7 loss against the Los Angeles Rams.