Kierre Greenwood had 10 points, and Badou Diagne pulled down 10 rebounds for the Chanticleers (12-11, 7-5). Greenwood's two assists moved him past Dwight Lighty into second place on the career list with 461.
Coastal outrebounded Presbyterian 45-27, and the Chanticleers' 22 offensive rebounds gave them a 19-4 advantage on second-chance points.
The Chanticleers led 48-40 on Raffa's 3-pointer and El Hadji Ndieguene's free throw with 8:15 remaining.
McTavish hit two foul shots to close to 52-48 at 2:31, and Mutakabbir's 3-pointer got them to 57-53 at 0:44, but Raffa's two free throws sealed it.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.
College basketball fans should be excited about next season's Jimmy V Classic, an event that will feature Duke's heralded freshman class.