Jones made a turnaround jumper from the baseline with four seconds on the clock to put Southern Utah ahead and Rice didn't hit the rim on a 3-pointer to close the contest.
Southern Utah moves on to the semifinals on Tuesday to face Eastern Kentucky, which beat No. 1 seed Indiana State in overtime.
Jones added six rebounds for the Thunderbirds (24-12). Cameron Healy scored 14 points and added five assists. Maizen Fausett shot 4 for 9, including 1 for 5 from beyond the arc to finish with 11 points.
Travis Evee led the way for the Owls (19-16) with 25 points and two steals. Max Fiedler added 22 points, 16 rebounds, two steals and two blocks. Quincy Olivari also recorded 14 points and six rebounds.
The Associated Press created this story using technology provided by Data Skrive and data from Sportradar.
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