Since you have a car, I would recommend heading east and eating at Parker’s BBQ in Wilson, NC. Besides the very good pork BBQ and sides, they also have really good fried chicken. One warning, though….this place can get very crowded during peak hours.
I know that Wilbur’s in Goldsboro is also highly regarded, but my one and only experience there was bad. But enough people like it, that I think they must have been having a bad night and I plan on trying them again next time I am in the area.
In nearby Chapel Hill, I really like Mama Dip’s for excellent Southern food. I especially recommend the vegetables and desserts there. http://www.mamadips.com/