The win is the Chanticleers' (9-9, 4-3) first against Campbell since Dec. 20, 2003.
Raffa scored 20 points and Greenwood 18 for Coastal Carolina, which shot 49 percent (24 of 49) and made 22 of 31 free throws.
The Camels entered having won seven of their past eight games with a 48.6 shooting percentage. Saturday, Campbell hit just 37.5 percent (21 of 56), and Trey Freeman, who was averaging 16.6 points per game during the run, had just two points on 1-of-11 shooting.
Coastal Carolina snapped a 22-22 tie with a seven-point run to close out the first half, then scored the first six of the second half for a 35-22 lead.
It's about time for someone other than Duke and Kentucky to grab the top class. Could it be Shaka Smart and Texas in 2017?
Which teams have enjoyed the most NCAA tournament success since 2000? Kansas' recent run to the Elite Eight vaulted the Jayhawks up the list.
There's nowhere to go but up for the Eagles, who were winless in the ACC last season but return a slew of young players who gained valuable experience.