Stewart was 18-of-23 passing for 222 yards and threw all three of his scores to Brad Rozner, who finished with eight catches for 130 yards. Walter had 15 carries that included a 34-yard touchdown run.
Stewart threw TD passes from the 30 and 18, and his 34-yarder with 14 seconds left in the second quarter gave the Owls (1-9, 1-5 Conference USA) a 31-14 halftime lead.
Asher O'Hara threw for 338 yards and two touchdown passes and ran for another score for Middle Tennessee (3-7, 2-4).
The Blue Raiders fumbled the ball away on their first play from scrimmage but made it close with O'Hara's 7-yard touchdown run in the third quarter, and O'Hara's 20-yard touchdown pass to Jimmy Marshall with 3:22 remaining.
On the final drive, Rice converted on third-and-11 and chewed up more than three minutes of clock before punting into the Middle Tennessee end zone with 16 seconds remaining.
Ifanse leads Montana State into FCS semis with 24-10 win
Isaiah Ifanse ran for 196 yards and a touchdown and passed for a touchdown to lead Montana State to a 24-10 win over Austin Peay in the FCS quarterfinals on Friday night.
Sources: Ohio State's Jeff Hafley favored to be Boston College's next coach
Ohio State co-defensive coordinator Jeff Hafley is the leading candidate to become Boston College's next football coach, and an official announcement could come as early as Saturday, sources told ESPN.
James Madison shuts out Northern Iowa 17-0 in FCS quarters
Percy Agyei-Obese ran 33 times for 124 yards and a touchdown and No. 2 seed James Madison dominated defensively in a 17-0 win over Northern Iowa in the FCS playoff quarterfinals on Friday night.
Murray State hires Kentucky assistant Dean Hood as head coach
Murray State has hired Kentucky special teams coordinator and defensive backs coach Dean Hood as its head coach. The 30-year veteran also has coached at Eastern Kentucky, Wake Forest, Colgate, Ohio and Charlotte.
2019 Heisman Trophy ceremony -- How to watch, finalists, favorite, previous winners
Here's how to watch the Heisman Trophy ceremony, as well as the finalists to win this year's award.
Memphis promotes Ryan Silverfield to head coach
Ryan Silverfield, the offensive line coach who has served as the Memphis Tigers' interim head coach since Mike Norvell's departure to Florida State, has been given the full-time job.