Snead, who finished with 11 catches for 135 yards, caught the winner in the back corner of the end zone for the Cardinals (3-1).
Wenning was 24 of 36 for 244 yards passing with two touchdowns, and also ran for a score. Jahwan Edwards ran 98 yards on 16 carries and a touchdown for the Cardinals, who won their second straight game after being down late. Ball State beat Indiana, 41-39, on a field goal as time expired last week.
South Florida (2-2) lost its second in a row despite Daniels' efforts. He threw three TD passes and led the Bulls in rushing with 75 yards.
After trailing much of the way, South Florida turned a 24-12 deficit into a three-point lead in the fourth quarter. Daniels, who finished with 312 yards passing, threw a 15-yard TD pass to Andre Davis in the final minute of the third quarter, then connected with Lindsey Lamar on a 29-yard touchdown -- the second TD for Lamar in the game. Demetris Murray's 2-point conversion run put the Bulls ahead 27-24 with 4:12 to go.
Wenning, who was not intercepted in the game, earlier found Jamill Smith in the corner of the end zone to make it 24-12. Edwards ran for 98 yards and a touchdown for the Cardinals.
South Florida beat Chattanooga and Nevada before losing to Rutgers. The Bulls host No. 4 Florida State next week.
Ex-Notre Dame Fighting Irish player Rod West replacing Ray Odierno on CFP selection committee
Former Notre Dame player Rod West will replace Ray Odierno on the College Football Playoff selection committee.
Former Michigan athlete calls for full investigation into sexual abuse
Jon Vaughn, a former Michigan running back, urges the university to launch a full investigation of sexual abuse by Dr. Robert Anderson.
Sources: NCAA investigating Arizona State football for possible recruiting violations
The Arizona State football program is being investigated for possible unspecified violations, the school confirmed in a statement to ESPN.
Head coach Jeff Brohm revamps Purdue Boilermakers' defensive staff
Purdue Boilermakers head coach Jeff Brohm has made more changes to his defensive coaching staff.
Alumni call on AG to investigate how University of Michigan dealt with abuse complaints
A trio of University of Michigan alumni asked the state's attorney general to open an investigation into how the school dealt with past sexual assault complaints about Dr. Robert Anderson.
College football's best Week 1 bets
Doug Kezirian and Stanford Steve examine Penn State vs. Wisconsin and Notre Dame vs. Florida State as the best bets for the first week of college football.