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.
College basketball fans should be excited about next season's Jimmy V Classic, an event that will feature Duke's heralded freshman class.
Jeff Goodman logs all the coaching changes following the 2015-16 college basketball season.
Can Josh Pastner keep top talent in Georgia? Will Tubby Smith change his recruiting philosophy at Memphis? New coaches face some difficult questions.