stovebolt409,
Laying down sound deadening/dampening mats, can work well. A couple of restoration shops in my area, recommended Deimos Deals. They carry, what appears to be the same kind of product that a Dynomat, or other brand name carries, for a fraction of the cost. I purchased and installed it in my 53 3100. It worked really well. Much quieter than before. Know doubt there are a number of other manufactures of similar products. But, they get my vote for a relative inexpensive way to achieve your goal. Here is a link to them.
https://www.ebay.com/str/deimosdealsHope this helps you with your restoration.
Rugo