I would think that it would be crazy to have a closed car, restore it and not use some type of sound deadening material.
I am pretty sure these guys use Dyna Mat.
http://www.quietride.com/web/viewer...ride.com/catalogpdfs/ford_model_a_catalog.pdf
I went to home depot and used there self stick stuff on my roadster. Way way cheaper than Dyna Mat (maybe not as good). It made a difference when closing the doors.
I forgot to attach a photo.
Where the battery cover is I did not glue it down to the floor, but instead installed it on a piece of paper so the sound proof could be lifted off with the battery cover at the same time.