Snow started his career playing on five different "Wings" teams from 1963 to 1969. He began play in the juniors with the Hamilton Red Wings of the OHA Jr. League and the Weyburn Red Wings of the Saskatchewan Junior Hockey League. He was a fast skater with an excellent hockey sense that enabled him to constantly find the back of the net. Snow scored 182 points in his first four years of junior hockey before getting his shot at competing at a higher level. Brought up for four games with the Memphis Wings of the CPHL in the 1965–66 season, Snow only recorded one assist, but the coaches saw promise and Snow returned to the lineup the following season as a member of the newly named Fort Worth Wings. He recorded 26 points in the 56 games season and helped Fort Worth in the playoffs by adding another three. The following season Snow improved on those numbers by scoring 34 points in 60 games. He had made his voice heard that season and was finally called up by the Detroit Red Wings to fill in on the fourth line. However he only played three games, recording just two penalty minutes before being traded to the New York Rangers, along with Terry Sawchuk, for Larry Jeffrey on June 17, 1969. He wouldn't be in New York for long. The Rangers turned around and traded Snow to the Phoenix Roadrunners of the World Hockey Association along with Don Caley for Peter McDuffe on July 3, 1969. Snow knocked in 17 goals and 14 assists for Phoenix in 1969–70 and added just one goal the following year before being traded to the Kansas City Blues of the Central Hockey League in December 1970. He played in only 12 games before joined the Flint Generals of the International Hockey League to finish out the season. For the next three seasons Snow regained his scoring touch, knocking in 65 goals and 85 assists for the Generals. He helped the team reach the playoffs each year, only to be knocked out in the first round for three seasons straight. The 1973–74 season saw Snow join the Brantford Foresters of the OHA Senior A Hockey League and play his last nine games of his career, ending with five points. He retired at the end of the season in 1974.
