The tie moves the Buccaneers to 7-3-2 on the season and 3-3-1 in region play.
“The lads worked very hard for a valuable point today,” Blinn head coach Michael McBride said. “Any point gained on the road in Region XIV is a good point.”
Mesquita now has 16 career assists, moving him into a first-place tie for the program record with former Buccaneer Stefan Fevrier-Sildor.
Blinn led 1-0 at halftime.
The Cougars tied the match in the 49th minute and grabbed a 2-1 edge in the 55th.
Kum secured the tie for the Bucs when he scored on a penalty kick in the 87th minute.
Blinn outshot Coastal Bend 21-15, while the Cougars owned a 9-8 advantage in shots on goal.
Sophomore goalkeeper Kevin Pena made seven saves for the Bucs.
Blinn gets back to work when it hosts Louisiana State University-Eunice for a non-conference match at 7:30 p.m. on Tuesday, Sept. 27, at Hohlt Park’s Rankin Field in Brenham, Texas.
Blinn has competed in intercollegiate athletics since 1903 and captured 42 NJCAA national championships since 1987.