Tulane outscored Southern (1-5) by 11 points from the free-throw line.
The Green Wave (4-2) led 14-1 early in the first half and 34-21 at the break. The advantage grew to 50-33 on Tarrant's 3-pointer 6:06 into the second half, but the Jaguars' 14-3 run made it 53-47 on Tarrant's free throws with 8:55 to go, and Southern kept chipping away.
Southern closed to 66-63 on Miller's 3-pointer with 30 seconds left and 67-65 on Grace's layup with 15 seconds remaining, but Kendall Timmons made 1 of 2 free throws, and Beltran missed a 3-pointer with 3 seconds to go.
Citing "an abundance of caution," NC State has pushed its trip to Italy to 2017 after the U.S. State Department warned of "the risk of potential terrorist attacks throughout Europe."
Four-star power forward Royce Hamm ended his recruitment on Friday with a commitment to head coach Shaka Smart and the Texas Longhorns after also considering Vanderbilt, Arkansas, Baylor and Houston among others.
Wisconsin's Nigel Hayes did his best Stone Cold Steve Austin impression and brought the pain to some fellow Badgers.