Gove grew up on Cape Cod in Massachusetts and played youth hockey locally and in the Boston area. As a youth, he played in the 1992 Quebec International Pee-Wee Hockey Tournament with the Boston Bruins minor ice hockey team. He later played college hockey for the Western Michigan University Broncos, where he was a finalist for the Hobey Baker Award for the top player in NCAA men's hockey. Undrafted, Gove played in two NHL games with the Carolina Hurricanes over his professional career. Gove was recalled by the Hurricanes on January 30, 2006 and recorded an assist in his first NHL game. Several months later, the Hurricanes won the Stanley Cup. Gove did not meet the qualifications to have his name engraved on the Cup because he did not play in half of the regular season games or make a Cup Final appearance, but he was included in the Stanley Cup team picture and was able to raise the Cup after the Hurricanes' Cup victory due to being a member of the team's "Black Aces" "taxi squad." He was also presented with a Stanley Cup ring by the team. Gove was recalled a second time by the Carolina Hurricanes on October 21, 2006, as an injury replacement for forward Keith Aucoin. He played one game before being returned to the Hurricanes' American Hockey League affiliate in Albany on October 23, 2006. Gove was later recalled several times by the Hurricanes during the 2006–07 NHL season, but was not placed into the Hurricanes' lineup. Gove was later traded to the Pittsburgh Penguins for prospect Joe Jensen on January 31, 2008. Upon announcement of the trade, Gove was assigned to the Penguins' affiliate in Wilkes-Barre and, with the club, reached the 2008 Calder Cup Final. Gove was later named captain of the Wilkes-Barre/Scranton Penguins for the 2008–09 season. Gove retired after the 2008–09 season, playing 522 professional games across five different leagues.
Coaching
Prior to the 2015–16 ECHL season, Gove was hired as an assistant coach to Clark Donatelli, head coach of the ECHL's Wheeling Nailers. Gove was named the Nailers' interim head coach when Donatelli was promoted to the head coaching position of the Nailers' AHL affiliate the Wilkes-Barre/Scranton Penguins on December 22, 2015. On January 21, 2016, he was made the full-time head coach of the Nailers. However, on April 29 he took a leave of absence for undisclosed reasons from Nailers while the team was in the playoffs. He was replaced as head coach in July 2016 by Nailers' assistant coach Jeff Christian. It was later revealed he went into rehab for drug use, having been abusing painkillers prescribed for the injury that had ended his playing career.
Death
On April 5, 2017, Gove's body was discovered at a rehabilitation facility in Pittsburgh's Uptown neighborhood where he was declared deceased by the local coroner. Several stamp bags of heroin were discovered near Gove's body. Although no official cause of death has been announced, Gove's death is believed to have been caused by a drug overdose. According to the Boston Globe, Gove became addicted to drugs following his playing-career ending injury. In 2014, Gove reported to police that in his early teens he had been the victim of child sexual abuse by a youth coach Robert G. Richardson, and a prosecution was later brought against Gove's former coach. Years earlier, Gove had told others of the alleged crimes against him. Gove died just prior to the criminal trial, and the prosecution ended. Gove was survived by a three-year-old son Cullen, his mother Donna, and sisters Kim Burnieika and Kristen Buttrick.