New Orleans (14-12, 11-4), which won the conference last year, remains 1.5 games behind league-leading Nicholls. The victory gave the Privateers 800 wins in program history.
Puou, who was 9 of 12 from the floor to total 23 points, also grabbed eight rebounds. Thibodeaux hit 8 of 16 field-goal attempts to total 18 points while dishing out seven assists. Bryson Robinson had 14 points and Lamont Berzat added seven points with six assists and four steals for New Orleans.
The Privateers had a slim 33-32 halftime advantage but quickly turned that into a 62-42 lead midway in the second half and cruised to the win.
Quatarrius Wilson had his fifth consecutive double-double with 13 points and 16 rebounds for McNeese (9-15, 6-8).
Mannion, who recently reclassified and is ESPN's No.11 overall player in the class of 2019, chose Arizona over Marquette.
He'll fit in with Sean Miller's plans for a faster tempo on offense.
The cream of the crop of American high school basketball will congregate in Colorado Springs from Oct. 5-7, as USA Basketball unveils its newly expanded Junior National Team minicamp in collaboration with the NBA, NCAA and NBPA.
|Stephen F. Austin||14-4||1||28-7|
|Sam Houston St||12-6||3||21-15|