Beard, who scored 17 points in the second half, and Tillis each had seven points during a 23-3 run that erased N.C. State's early 10-point lead.
Kaayla Chones had 16 points and Sasha Reaves added 10 to pace N.C. State (10-11, 2-6 ACC). Chones hit six of her first nine shots from the field, including a layup that put N.C. State up 29-19.
But Duke would not be down for long and trailed 36-34 at the break.
The Blue Devils opened the second half with a 14-0 run. Bass put Duke up 48-36 with a short jumper with 15:49 left in the game. N.C. State went 8:38 without a field goal during a stretch that spanned both halves.
N.C. State never again got closer than 61-53. The Wolfpack hit 17 of 32 first-half shots (53.1 percent) but was limited to 6-for-25 shooting (24 percent) in the second half.