The 2020 Thorne Cup playoffs were cancelled due to the COVID-19 pandemic and the WSHL later announced it would go dormant for the 2020–21 season due to the effects of the pandemic in May 2020. On June 16, 2020, the Rhinos announced it would join the South Division of the North American 3 Hockey League (NA3HL), effective for the 2020–21 season. Beginning the 2021–22 season, the Rhinos plan on joining the South Division in the North American Hockey League (NAHL). After leaving the WSHL, the city of El Paso and the Rhinos won the Kraft Hockeyville USA competition, which awards the city's arena $150,000 in upgrades.