Campbell and Roberson didn't attempt a field goal in the first half, but combined to go 8-for-13 in the second.
The Governors trailed 74-62 with 5:26 remaining, before scoring 17 straight points capped by a Roberson free throw with 8 seconds to play.
The Zips built a 72-57 lead, but went 1-for-8 from the field throughout the remaining 7:36.
Akron, which led 44-32 at halftime, shot 30.3 percent in the second half (10 of 33) in its season opener.
Wesley Channels scored 17 points and Tyrone Caldwell added 14 for the Governors in the Glenn Wilkes Classic.