What do you mean by "wheel dollies"? Your use of the plural confuses me.
I have used a dolly to move a truck before and personally much prefer a trailer.
Some states have laws governing what you can tow and what you can not. In my state the '54 would need to be licensed if towed on a dolly.
Also in my state there is a limit on the weight of a towed load if it does not have brakes, I believe that is 3000 pounds and your 3600 exceeds that by about 1000 pounds.
I don't know what the rules are in Missouri but you probably should before starting out.
Any kind of dolly means you don't have brakes on the load, and therefore your tow vehicle will be stopping everything. Is the GVWR rating of your tow vehicle at least 4000 pounds more than it weighs?
A 1/2-ton pickup won't have adequate brakes to do this safely but a 3/4-ton might.
