McKines’ performance was the 42nd double-double of his career and 15th this season.
Hernst Laroche scored 17 points, including three 3-pointers, as the Aggies (20-8) picked up their third consecutive victory. Daniel Mullings added 10 points.
Rayvonte Rice scored 18 points for the Bulldogs (15-13), whose two-game winning streak was snapped. Aaron Hawley hit four 3-pointers and scored 14.
New Mexico State used a 14-2 run for a 19-7 lead with 9:57 left in the first half, and it was not close thereafter.
The Aggies shot 48 percent (24 of 50) and 54 percent (7 of 13) from 3-point distance. Drake was limited to 34 percent (18 of 53) and 32 percent (7 of 22) from long range.
The BracketBusters game was the 2,500th contest in Drake’s 106-year basketball history.