Colligan started the scoring early with a deep blast to center field to stake the Aggies to a 1-0 first-inning lead.
A&M trailed 2-1 in the bottom of the second when the Aggies broke loose for seven runs on the strength of a solo shot by Darby Brown, a two-run homer by Colligan and a three-run double by Brown later in the inning.
Houston's season ends at 42-24. Colligan was named the College Station regional's most outstanding player.
The super regional is a rematch of last year, when the Owls won in two games 3-2 and 5-2.