Durham, Raleigh, W-S, Greensboro, Charlotte

Some colleagues and I will be in NC for 10 days. Most of it will be spent at Duke, where we will be enjoying cafeteria food for most meals. A small group of us will be traveling through NC afterwards. So, I'm looking for two recs per cities listed above -- one pricy and one less so, but both wonderful. Of course we're interested in having some excellent BBQ, but we're also interested in trying other things too. As we're all coming from So Cal, we're not interested in Mexican/Latino or Asian food. Otherwise, we're completely open-minded. Thanks so much for your recs!