Posley was 8 of 17 from the field and 12 of 14 at the free-throw line. Posley has scored over 20 points in six games this season.
The Bonnies (10-3, 2-0 Atlantic 10) are off to their best start since the 1999-2000 season when they began 12-2.
Shevon Thompson had 17 rebounds and 14 points for the Patriots (6-9, 0-2). Otis Livingston added 11 points.
The Bonnies led by three at halftime and led the entire second half with an 18-6 run, including eight points from Gregg and six from Posley, giving them a 17-point lead with 2:43 left.