The Cowboys won nine of 10 matches on the night, including five bonus-point victories. Wrestling at 174 pounds, No. 10 Hayden Hastings (Sheridan) earned a pinfall late in the first period to get things started.
Tate Samuelson (184), Stephen Buchanan (197) and 18th-ranked heavyweight Brian Andrews followed with major decisions. Trevor Jeffries (Gillette) capped the Cowboys' bonus-point barrage with a 13-2 major decision at 141.
Wyoming goes to Green River on Sunday for a "home" match against Utah Valley.