Cooper's in downtown (as previously listed) gets my vote - great BBQ! And it's an easy drive from RBC (but navagating downtown may be slightly confusing if you are unfamiliar)...
Hours of Operation: Mon-Sat (10 am-6 pm), Sun (closed, catering only)
Contact:
109 E Davie St
Raleigh, NC 27601-1805
Phone: (919) 832-7614
map
Do a google search and you'll find reviews, etc