The Buccaneers are now 13-31 with a 9-21 record in South zone play.
The Buccaneers were hurt by six home runs hit by the Cougars, who have taken the first two games of a four-game series.
Blinn got on the scoreboard with a three-run third inning, made possible by Luke Nail‘s bases clearing double, to make it a 10-3 ballgame.
Jett Garcia added a solo home run in the home half of the fifth to close out the scoring.
Dave Wilson finished 2 for 2 at the plate and scored a run.
Blinn starting pitcher Isaac Ponce was tagged with the loss following a two-inning effort.
The series between the Bucs and Cougars returns to Beeville, Texas, when the two teams face off in a twin bill beginning at 2 p.m. on Saturday.
Blinn has competed in intercollegiate athletics since 1903 and captured 42 NJCAA national championships since 1987.