Upon further research, it appears to be a Hogna carolinensis, the Carolina Wolf Spider. Makes perfect sense given my location in NC. Apparently they are super common here. Largest wolf spider in the US, which is why I didn't immediately think wolf; we had little bitty wolf spiders in upstate NY, but this guy was a real whopper! They apparently come crawling inside looking for warmth in the fall.
Not sure how he got in, but he's been returned from whence he came with the help of the "sheet of paper and drinking glass" method.