4 Way Market
This place has one of the largest, most diverse craft beer selections in east Nashville, maybe the whole city. I don't know how true that is, but I hear people say it and I also think it's true. One block from The Cottage. Plenty of other convenience store goodies as well. 7:00AM to midnight, daily.
At 0.6 miles away, I am not sure you can pick up beer any closer than this. I think they're open until 12 AM as well.
If you want beer, this is the place. Looks not so nice from the outside, but once you step inside you will have reached craft beer wonderland. This is where we shop for beer.