Undrafted, Miska played junior hockey in the United States Hockey League and British Columbia Hockey League before embarking on collegiate hockey at the University of Minnesota at Duluth in the National Collegiate Hockey Conference. In his freshman year with the Bulldogs in the 2016–17 season, Miska posted a 27–5–5 record with a.920 save percentage and a 2.20 goals against average with five shutouts. He helped lead the Bulldogs to the Frozen Four Championship game before falling 3–2 to the University of Denver. Miska was named as a finalist for the Mike Richter award, given annually to the goaltender voted to be the most outstanding in Division I NCAA hockey during the regular season. Following an impressive debut season, Miska left Duluth to turn professional in signing a two-year, entry-level contract with the Arizona Coyotes on April 15, 2017. After attending his first training camp with the Coyotes, Miska was assigned to AHL affiliate, the Tucson Roadrunners, for the duration of the 2017–18 season. In the 2018–19 season, Miska began the season continuing his tenure in the AHL with the Roadrunners. On November 6, 2018, Miska received his first recall to the NHL by the Coyotes, providing cover for the injured Antti Raanta. He made his NHL debut with the Coyotes in relief of Darcy Kuemper in a game against the Detroit Red Wings on November 13, 2018. On November 23, Miska was returned to the Roadrunners. Miska was used as an emergency recall for the Coyotes, however was shortly returned again to the AHL on November 30, 2018. Remaining with Tucson for the remainder of the season, Miska split duties between the pipes with Adin Hill, collecting just 10 wins in 25 games. Having concluded his entry-level contract and as an impending restricted free agent, Miska was not tendered a qualifying offer to remain with the Coyotes, and was released to be a free agent on June 25, 2019. On July 12, 2019, Miska agreed to a one-year AHL contract with the Colorado Eagles, affiliate to the Colorado Avalanche. He began the 2019–20 season with the Eagles, before he was briefly assigned to ECHL affiliate, the Utah Grizzlies for 3 games. Upon his return to the AHL, with injury to fellow goaltender Antoine Bibeau, Miska remained with the Eagles posting 11 wins and tied fourth among all AHL goaltenders in save percentage through 19 games, before signing a one-year NHL contract for the remainder of the season with the Avalanche on February 10, 2020.
