Tony Johnson added 15 points and went 6 of 6 from the stripe for Lafayette, which made 10 of 11 free throws.
Lafayette (9-12, 2-2) scored 12 of the game's first 14 points but led by just three, 23-20, at intermission after Holy Cross' Phil Beans hit a 3-pointer as time expired. Holy Cross (10-9, 2-2), however, would get no closer as Johnson opened the second half with a layup and Hinrichs hit back-to-back 3-pointers to push Lafayette's lead to 31-20.
Dave Dudzinski knocked down a 3-pointer to cut the deficit to 36-30 but the Leopards rattled off 11 straight points to take their largest lead of the game, 47-30.
Beans had 14 points for Holy Cross and Dudzinski added 13.
Reggie Witherspoon, who spent more than 13 seasons coaching at Buffalo, is returning to the city to coach Canisius College.
North Carolina Hall of Fame men's basketball coach Roy Williams is recovering from knee-replacement surgery.
Sparkling facilities are one thing, but Tim Miles needs to regain the momentum of Nebraska's 2014 run to the NCAAs if it is to play with the big boys.