Streveler signed with the Winnipeg Blue Bombers of the Canadian Football League 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. However, the presumptive backup quarterback, Darian Durant, retired before the start of training camp. The Blue Bombers signed quarterback Bryan Bennett to compete with Streveler and Ross for backup behind Nichols. On June 1, 2018, Streveler played in his first preseason game with the Blue Bombers, going 10 for 10 with 140 yards and an 80-yard touchdown pass. On June 6, Nichols suffered an injury in practice that would later sideline him for four to six weeks to open the 2018 season. Instead of signing a veteran quarterback to lead the team, the Blue Bombers elected to start Streveler to open the season. Streveler became the first quarterback to start a CFL game coming out of college since 1994, when future Hall of FamerAnthony Calvillo started for the Las Vegas Posse. Streveler won his first CFL match in Week 2 when the Bombers defeated the Alouettes 56–10. Streveler started the first three games of the season for the Bombers before starting quarterback Nichols returned from injury. 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 5 interceptions. On the ground, Streveler had 77 carries for 441 yards and 10 more scores. The 2019 season began with Streveler as the backup quarterback to Matt Nichols. Nichols suffered an injury in Week 10 and was placed on the six-game injured reserve list, which promoted Streveler to the starting role. Despite completing only seven passes for 89 yards Streveler was able to lead the Bombers to a win thanks in part to his rushing performance in which he gained 95 yards and scored a touchdown. Streveler remained the Bombers starting quarterback for eight matches, winning three of those games and losing five. He suffered an injury in Week 19 and was relegated to the injured list for the Bombers final game of the regular season, as the team announced veteran Zach Collaros as the starting quarterback; whom the Bombers had traded for on trade deadline day only a couple weeks prior. Streveler finished 2019 with 1,564 yards passing and 8 touchdowns, compared to 14 interceptions in 17 games played. On 127 carries, he put up 726 yards and 12 more majors. 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. Streveler played a limited role in the West Final against the Saskatchewan Roughriders, with only one pass attempt and four carries for 10 yards, the Bombers still won and got a chance to compete in the 107th Grey Cup in Calgary. In the championship game Streveler played a much larger role, throwing a touchdown pass to Andrew Harris, rushing for thirty yards, and catching a pass from Darvin Adams, as the Bombers won their 11th Grey Cup, their first in 29 years. Following the season, it was reported that Streveler had scheduled workouts with three NFL teams: the Arizona Cardinals, Tampa Bay Buccaneers and Miami Dolphins. He was released on February 3, 2020 in order to pursue NFL opportunities, reportedly with the Cardinals.
Arizona Cardinals
On February 4, 2020, Streveler signed a reserve/future contract with the Arizona Cardinals.
