Brennan Cougill had 14 points and 10 rebounds for the Phoenix (8-12, 4-6 Horizon League), who never trailed en route to improving to 8-1 at home this season.
Green Bay maintained a small lead until getting separation midway through the second half. A Keifer Sykes layup gave the Phoenix a 48-42 lead, and Cerroni made five straight free throws, to extend the cushion to 11 points with 9:55 remaining.
Cerroni and Boggs had five 3-pointers each.
Sykes had 11 points and Josh Humphrey nine rebounds for Green Bay.