Manziel completed 16-for-24 passes for 273 yards with four scoring strikes while carrying the ball seven times for 68 yards and pair of scores.
Travis Labhart made four grabs for 83 yards and two touchdowns for the Aggies (7-2), who posted a second straight win.
Mike Evans and Malcome Kennedy each caught a TD toss.
Aggies running back Tra Carson ran for a touchdown but was taken off the field following what appeared to be a head or neck injury in the fourth quarter.
The Miners (1-7) fell as Blaire Sullivan was intercepted three times. He finished 9-for-17 passing for 71 yards.