Schoof, who entered a 50-percent 3-point shooter on the season, hit 5 of 8 from deep and has at least one 3-pointer in seven consecutive games for the Eagles (9-14, 4-4 Patriot League).
Colgate took a 26-25 lead shortly after halftime and was tied 36-36 with 13 minutes left.
Wroblicky snapped that tie with a jumper, which sparked a 16-2 Eagles run that included two 3-pointers and a layup from Schoof.
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.