Nashville has a public express bus to downtown.
When you leave the baggage claim follow the signs to ground transportation.
There are several lanes with taxis and ride services, a further into it, has the bus sign.
The bus costs $2, they take cash and it has air conditioning.
It should take 26 minutes to downtown.
Exit is 8th Ave S & Demonbreun St NB.
From there you walk Demonbreun street and after 0.5 miles, you reach the hotel.
I hope this information helps someone.