Raleigh NC area
Uh-oh, you asked about barbecue within 100 miles of Raleigh...you are likely to be bombarded with the "Eastern NC" vs. "Lexington Style" argument!
With that said, Clyde Coopers in downtown Raleigh is always excellent, as is Allen and Sons in Chapel Hill for close-by options; I'll leave the further-out to others.
If you want a good, down-home Southern breakfast, Big Ed's in City Market in Raleigh will get that done.
It might be further than the 100 mi. range, but if you're a fan of The Andy Griffith show, you need to hit Snappy Lunch in Mount Airy for a pork chop sandwich. These are just a few, but I'm sure you'll hear ideas from many others! Good luck and happy chowing!