The Rams (1-4) trailed by four when Priore capped a late 63-yard drive with a 14-yard scoring pass to Parker for a 31-28 lead with 5:43 left to play. Following the kickoff, the defense held Brown to 14 yards and a single first down, forced a punt and Rhode Island ran out the clock.
Priore finished with a career-high 389 yards passing with three touchdowns. Zoe Bryant Jr. ran for 63 yards and a score, Isaiah Coulter had 171 yards receiving and a score and Parker had 87 yards receiving and a pair of touchdowns.
Rhode Island led 17-14 at halftime and stretched it to 24-14 in the third quarter on Bryant's 7-yard scoring run. But the Bears (1-2) answered with two touchdown runs by Allen Smith early in the fourth to move ahead 28-24 with 8:20 to play.
EJ Perry threw for 420 yards and three touchdowns and ran for 92 yards for the Bears.
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