Bischoff played high school hockey in his native Minnesota with
Grand Rapids High and parts of two seasons with the
Omaha Lancers of the
United States Hockey League (USHL) before committing and playing collegiate hockey for the
University of Minnesota. As an alternate captain with the Gophers, Bischoff completed a four-year collegiate career, having his most productive season in his senior year during the
2016–17 season, compiling 5 goals and 27 assists for 32 points in 38 games from the blueline. He was selected as the
Big Ten Defensive Player of the Year. Originally drafted out of high school by the New York Islanders in the seventh-round, 185th overall, of the
2012 NHL entry draft, Bischoff was signed to a two-year, entry-level contract with the club following his senior season with the Golden Gophers on March 29, 2017. He immediately joined the Islanders' AHL affiliate, the
Bridgeport Sound Tigers for the remainder of the regular season, posting 3 points in 6 games. On June 21, 2017, Bischoff was traded by the Islanders, along with
Mikhail Grabovski and a pair of draft selections to the Vegas Golden Knights, in exchange for
2017 NHL expansion draft considerations. In joining the Golden Knights in their inaugural season, Bischoff was assigned to AHL affiliate, the
Chicago Wolves for his first full professional season in
2017–18. On July 16, 2019, as a restricted free agent, Bischoff was signed to a three-year contract extension with the Golden Knights. After missing the entirety of the
2021–22 season due to a lower body injury, Bischoff opted to remain within the Golden Knights organization, by signing a one-year AHL contract with affiliate, the Henderson Silver Knights, on July 14, 2022. Bischoff was later named
captain of the Silver Knights on October 12, 2023, succeeding
Brayden Pachal. Following eight seasons in the Golden Knights' organization, Bischoff went overseas, signing a one-year contract with the
Shanghai Dragons of the
Kontinental Hockey League on August 15, 2025. ==Career statistics==