N.C. State (15-5, 4-1 Atlantic Coast Conference) responded with five unanswered points, capped by Wood's two free throws with 18 seconds left.
Earlier in the game, Wood's second of three free throws set the ACC all-time consecutive free-throw record of 55 after he was fouled on an attempted 3-pointer with 5:21 remaining. He increased the mark to 58 by game's end. Duke's J.J. Redick set the previous record of 54 in 2003-04.
DeShawn Painter finished with 18 points for the Wolfpack.
The Hurricanes outscored N.C. State 15-4, during a 3:46 stretch late in the second half. Kadji's 3-point play with 4:26 remaining ended the surge and got Miami to within 65-60.
Kadji led the Hurricanes (10-7, 1-3) with 20 points.
Miami shot 2 of 20 from 3-point range while the Wolfpack converted on 6 of 10 from behind the arc.
N.C. State maintained its double-digit halftime lead through the first 10 minutes of the second half until Miami responded with six unanswered points that cut the Wolfpack's lead to 59-51 with 7:33 remaining.
N.C. State kept the Hurricanes without a basket for a 5:32 stretch midway through the first half and built a 24-17 lead. C.J. Leslie scored six points as the Wolfpack erased a 16-15 deficit.
Durand Scott's driving layup with 6:01 remaining ended the field goal scoring drought for Miami.
Leslie's two free throws with 3:17 left gave the Wolfpack its first double-digit lead of the first half at 32-22 and was part of a 10-0 run. C.J. Williams' second of consecutive 3-pointers with 1:23 remaining ended the surge and increased N.C. State's lead to 38-22.
The Wolfpack limited Miami to 7-of-25 shooting from the field in the first half and led at halftime 39-27.
The Hurricanes opened to an 11-6 lead in the first 5:41. Kadji scored eight points during Miami's early spurt.