South Dakota State (11-5, 2-1 Summit) got a balanced all-around game from Wolters, who also had seven assists, six rebounds and four steals. Most of Dykstra's points came from long range, as he hit five 3-point baskets.
Chad White chipped in with 14 points.
South Dakota State hit nearly 51 percent of its shots from the floor and had a 14-8 scoring advantage through turnovers.
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.