Davies shot 14 of 17 from the floor and had eight rebounds for the Cougars (7-3), who snapped Weber State's 20-game home winning streak.
A 14-1 second -half run gave BYU permanent control. Davies and Cory Calvert had five points each during the surge while Weber State went 4:22 without a field goal. Calvert's layup made it 65-50 with 6:01 remaining, and the Wildcats got no closer than 10 the rest of the way.
The Cougars shot 53.7 percent (29 of 54) from the floor.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.
NBA fans will be looking forward to their newest players making plays like this next season.