Freshman kicker Alan Gendreau added the deciding extra point after the Blue Raiders tied the game on the fourth-and-9 play.
Middle Tennessee (2-3, 1-2 Sun Belt) snapped a four-game conference losing streak, its longest since 1980.
Craddock finished 24-of-35 for 268 yards and two touchdowns. His first scoring pass was a 25-yarder to Patrick Honeycutt in the fourth quarter that made it 10-7.
Di'Ivory Edgecomb scored on a 53-yard run on the game's sixth offensive play to put Florida Atlantic (1-4, 0-1) ahead 7-0. He finished with 101 yards on 15 carries.
Warley Leroy kicked two 25-yard field goals for the Owls. The second gave Florida Atlantic a 13-7 lead with 1:15 to play.
Florida State coach Jimbo Fisher hopes quarterback Sean Maguire is ready to go full speed by the middle of June.
Graduate transfer quarterback Davis Webb has officially joined California, giving the Golden Bears an experienced option to replace No. 1 overall NFL draft pick Jared Goff.
First-year football coach Dino Babers, hired by former Syracuse AD Mark Coyle, is on the committee that will search for Coyle's replacement.
Hugh Freeze has some major holes to fill on offense with the departures of Laremy Tunsil and Laquon Treadwell, but there is Chady Kelly and good depth.
After transferring in from Montana State, Dakota Prukop has a checklist he's working from as he prepares to compete for the Oregon job.
The destination for Week 6 of the Big 12 Ultimate Road Trip is unanimous, as all three conference reporters would head to the Red River Rivalry.