I live in Charlotte (NoDa, oddly close to NoDa brewing)
Belmont is about 25min driving (on a good day) from NoDa.
It is however a dense area brewery wise:
NoDa brewing
Birdsong
Heist
Free Range Brewing
Legion Brewing (Plaza Midwood area)
[EDIT] I have to include Salud Beer Shop on the brewery list because they are brewing and serving their brews on tap.
also your choice of Video Game bar, Dog Bar, or a choice of awesome bottle shops.
Being in belmont I would probably recommend an afternoon excursion to the White Water Center, about 10 min from you. Its only 5$ to park and there are miles of trails for walking and biking as well tons of other attractions, a few of which are great bars with lots of local and regional beers.
That would be the best bet if you are into activities outside of drinking. Otherwise come to NoDa and Ill make you sample some homebrew.