Nick Coppola scored 12 points and had seven assists and the Warhawks (7-9, 4-4 Sun Belt) outshot the Red Wolves 46.3 percent to 41.2 percent. Ongwae also had nine rebounds.
Ongwae put Louisiana-Monroe up 11-10 on a layup and the Warhawks pulled to a five-point lead, but Kirk Van Slyke hit a 3-pointer at 4:56 to put Arkansas State in front 26-25. Melvin Johnson III sank a jumper to tie the score at 33 at halftime.
Louisiana-Monroe pulled ahead in the second half on an 8-2 run and led 59-49 after a 7-0 run, capped by a dunk by Williams. The Red Wolves pulled to within five on a 3-pointer by Ed Townsel, but got no closer.
Johnson led Arkansas State (11-8, 4-4) with 27 and Van Slyke finished with 15.
The Big 12/SEC Challenge will again feature Kansas and Kentucky, this time at Rupp Arena. That's not the only exciting matchup in next season's midseason conference showdown.
Northwestern has never made the NCAA tournament, but the Wildcats' upward trajectory suggests 2016-17 could finally be the season it happens.
Dillon Brooks, who led Oregon with 16.7 points per game last season, and Tyler Dorsey will opt out of the NBA draft process and return to the Ducks, sources told ESPN.