Will Bardo connected with Ross Smith on a 20-yard score which gave Dayton (6-3, 4-2 Pioneer) a 30-20 lead early in the third quarter. Conley Wilkins' 8-yard touchdown run pulled Drake (6-4, 5-2 Pioneer) within 30-27 late in the third.
Rice threw a 10-yard TD pass to Hudson and an 84-yard strike to Andrew Yarwood in the second quarter.
T.J. James led Drake with 117 yards rushing and Wilkins ran for 58 yards and two touchdowns.
Dayton's Connor Kacsor rushed for 167 yards and two touchdowns.