Hogue chose to play college basketball for Indian Hils college after finishing highschool at Lincoln High School. As a sophomore, he averaged 12.9 points and 5.4 rebounds in 25 games making 49.4 percent of his shots from the field. He was named in the Second-Team All-Region XI. His team went 24-1 in the 25 games he appeared in. As a freshman, he averaged 10.6 points and 5.7 rebounds. Indian Hils finished seventh at the NJCAA Division I national tournament in 2012.
As a junior, he was transferred from Indian Hills, to Iowa State University. In his first season, he played and started at all 36 games averaging 11.6 points and 8.4 rebounds being the second in the Big 12 in rebounding. Houge shot 57.3 percent from the field, including 34.4 percent from behind the arc. He was named to the NCAA Tournament All-East Region Team after scoring a career-high 34 points against Connecticut in the Sweet 16. He had his first career double-double came against No. 7 :en:Michigan Wolverines men's basketball|Michigan when he scored 12 points and grabbed 10 rebounds. In the 2014-15 season his numbers dipped to 9.3 points and 4.9 rebounds, but he averaged four fewer minutes of playing time. He did, however, improve his 3-point shooting during his last season from 34 percent to 43 percent. He scored in double figures 16 times this season and 37 times in his career.
College statistics
Professional career
After going undrafted in the 2015 NBA draft, Hogue signed with the Greek club Nea Kifissia for the 2015–16 Greek Basket League season. At the end of the full season, Hogue went on to average 12.5 points, 8.1 rebounds, 1.4 assists, and 0.9 steals in 28 games for Kifissia. He was the top rebounder of the Greek Basket League's regular season phase. During the season, Hogue scored in double figures 20 times, having also 11 double-doubles in points and rebounds. On June 29, 2016, Hogue signed with Aquila Basket Trento for the 2016–17 season. In July 2017, Hogue signed with Korean club Goyang Orion Orions. In July 2017, Hogue signed with Turkish club Pınar Karşıyaka. In November 2017, Hogue signed with Italian club Orlandina Basket. However Orlandina Basket was unable to finalize the deal with him. According to a decision taken by FIBA, Hogue was still bound with the South Korean team of Goyang Orion Orions, so he could not be registered with another organization. On December 14, 2017, Hogue signed again with Italian club Aquila Basket Trento. On July 29, 2019, he signed a contract with BC Enisey of the VTB United League. Hogue averaged 11 points and 6 rebounds per game. He re-signed with BC Enisey on July 16, 2020.