Dillard scored his second touchdown on a 3-yard run late in the third to give Rice (7-4, 5-2 Conference USA) a 24-13 lead. Hull caught Driphus Jackson's 5-yard TD pass with 5:41 left to cap the scoring.
Jackson finished 10 of 22 for 227 yards, two touchdowns and an interception. He also ran for 53 yards on 11 carries.
The Owls went 82 yards on four plays on their opening drive of the second half, taking a 17-3 lead on Jackson's 24-yard touchdown pass to Jordan Taylor.
Former USC kicker Matt Boermeester, who is two classes shy of graduation, is petitioning to be reinstated. He was expelled last month following a Title IX investigation.
Gardner Minshew beat out Duke transfer Thomas Sirk for the starting quarterback job at East Carolina.
SEC Network's Gene Chizik and Booger McFarland discuss the impact of Arden Key and DC Dave Aranda for LSU's defense.
SEC Network's Gene Chizik and Booger McFarland reflect on Nick Saban's ten successful seasons with the Crimson Tide.
Scott Carter will take over as East Tennessee State's athletic director next month, replacing Richard Sander.
SEC Network's Booger McFarland and Gene Chizik emphasize the roles of notable returning starters for the Tigers' offense.