I would go as long as no one has a health issue or is over 65.
Take normal precautions as mentioned by many here. If staying at a hotel - I suggest calling any of the hotels a head of time to make sure there are no restrictions. For example, if you from Mass were to stay in Maine at hotel there are very strict restrictions.
I would map up my travel plans - the route I am taking to see if and where I can make restroom stops. PA is likely to not have any open - not 100% sure, but when this all started, I had to drive to VA from MA to move my daughter out of her house at college. There was no rest areas in PA (I think my daughter was able to use the bathrooms at a gas station off the highway but I think that might have been in Maryland). I did not pee until hitting VA. Coming back - we stopped at a hotel in New Jersey to use the bathroom.
So yeah a bit crazy - but those are things you need to check. I would also check any restrictions in the states you drive through just in case you do need to stop anywhere along the way.
Tennessee is pretty open. My daughter actually went with her cousin to Nashville and things although quiet and with very few people were open. Also if you plan on seeing any sights - check them out a head of time - any that are open likely require you to make a reservation and be there at a specific time.
If you all are healthy and not elderly, and are careful...masks, antibacterial, hand washing - you know the deal. You should be able to go - bonus - things are slower and less crowds.