Had the same problem with a 69 Chevelle I owned.
The new owner bought it knowing that it had clutch chatter, then chased the problem in a similar fashion as you.
One thing that helped was to replace all the rear control arm bushings.
Not sure if anything else was done after that.
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Rick
69 Chevelle SS396 Silver L78 M21 Post Sedan (Berger Chev.)
69 Chevelle SS396 Black L78 4-speed 4.10 Post Sedan

Don't text and drive.
Somebody's life may depend on it!
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