I know you don't want to try anything else, but perhaps different mufflers on each side would work. The factory mufflers are different sizes and likely for this very reason. Different resonate frequencies.
I personally wouldn't worry about losing a small amount of acceleration to gain a quieter ride you will enjoy long term. These old cars are not fast compared the new stuff. Optimizing them for power at the cost of ride enjoyment is not worth it - to me at least (I own a hellcat if I want to scare myself).
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1969 Judge, 4-speed, CR/Parchment, Quasi-Survivor, #'s match - under restoration
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