Wyoming, bowl eligible for the fourth consecutive season, has won seven consecutive home games.
Wyoming (6-2, 3-1 Mountain West) had 258 rushing yards and 221 passing yards for a total of 479. The bulk of the Cowboys' passing yards came from Chambers, who was 6 of 9 for 158 yards and two touchdowns. Backup Tyler Vander Waal was 3 of 10 for 63 yards with a touchdown.
Wyoming led 24-3 at halftime and Vander Waal's 25-yard pass to tight end Jackson Marcotte capped the scoring with 11:54 remaining in the third quarter.
Valladay's previous best was 192 yards at New Mexico last season, also a 31-3 victory for the Cowboys.
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