Jones made 8 of 10 from the free-throw line.
Maizen Fausett had 19 points for Southern Utah (4-1), which earned its fourth consecutive victory. Harrison Butler added 10 points and Dre Marin had six rebounds.
"It was a good win for us," SUU coach Todd Simon said in a news release. "Utah Valley does a good job, they're a talented team that's well coached, and I was proud of the way our guys fought. We fouled too much, some key guys got in foul trouble, but they played through it."
Fardaws Aimaq had 20 points, 15 rebounds and four blocks for the Wolverines (2-2). Jordan Brinson added 18 points. Trey Woodbury had 15 points and six rebounds.