Nick Russell had 13 points for the Mustangs (14-14, 4-9 Conference USA), who shot 57 percent from the floor and enjoyed a 40-23 rebounding edge.
Rice was on an uphill climb for much of the game, thanks to a first-half stretch of 6:48 in which it didn't score. SMU led 35-20 at the break.
It was the Mustangs' final home game in Moody Coliseum, as it is currently constructed. The 57-year-old facility is undergoing a $47 million renovation that is scheduled to be complete by next season, when SMU begins play in the Big East.