Greg Salas had 10 catches for 187 yards and two TDs for the Warriors (3-6, 1-5 Western Athletic Conference), who were in the midst of their longest losing streak since going 0-12 in 1998.
Alex Green added 110 yards rushing on 10 carries, giving pass-heavy Hawaii its first pair of 100-yard rushers since Johnny Macon (141) and Brett Washington (106) in 1995.
The loss was the 12th straight on the road for the Aggies (2-7, 1-4), who had no answer for Hawaii's air-and-ground attack.
The 49-point, 697-yard outburst was the best this year for Hawaii.
Moniz was 21 of 37 for 337 yards, earning his first victory in four starts.