McLaughlin's 14 assists set a program record at the Division I level.
Dan Garvin added 12 points and Hunter Ware 10 for the Bulldogs (2-1), who opened on a 9-2 run and later scored 14 straight on their way to a 43-20 halftime lead.
Bryant's 8-2 run to start the second pushed the lead to 29. Prairie View (0-3) answered with a 20-3 run to get within 55-42 on Tevin Bellinger's 3-pointer with 10:51 left.
Garvin scored back-to-back layups to push the lead back to 59-42 and the Panthers got no closer than 59-48.
Admassu Williams had 16 points and 11 rebounds and Bellinger scored 15 to lead Prairie View.