I had a wonderful experience in Bill and Debbie's Carriage House. The price was great and it was easy to access downtown via Uber or Taxi. An Uber took around 5 or 6 minutes and cost $6 or $7.
There is a supermarket a couple of blocks away where you can get all the basics for your stay. The place doesn't have a stove, but it had a microwave, a fridge and a toaster oven which was plenty for my 5 days in Nashville. Especially because there are fine restaurants in the city.
Overall a very good stay.