Aaron Urbanus added 12 points for the Broncs (6-15), who snapped a 25-game road losing streak dating to March 2010. Provost hit four 3-pointers.
Jeremy Robinson scored a game-high 21 points to lead four Cougars (1-17) in double figures. He also had a game-high eight rebounds and a career-high four steals.
With the Broncs trailing 16-13, Provost sank a 3-pointer to tie the game and spark an 11-0 run that included six points by Enique Mason for a 24-16 lead with 5:09 left in the first half.
Texas Pan-American, which outscored the Cougars 28-0 off the bench, led the rest of the way.
Andy Katz breaks down the likelihood of Villanova, Syracuse, North Carolina or Oklahoma making a run to the Final Four next season.
Florida State has announced that Xavier Rathan-Mayes will return to the court for his junior season. The 6-foot-4 guard declared for the NBA draft last month but did not hire an agent.
Virginia coach Tony Bennett takes the ACC Fast Break with Dino Gaudio by answering questions like who the best Tony Bennett is and what other sport he'd like to coach.