If the rubber on the center bearing is still intact, I'm doubting that is the problem. My personal thoughts, due to personal experience, a worn axle cv-joint is likely.

Raise the car with the rear suspension suspended. Do the cv-joints have any odd angles or shapes? Try a rotation test on each wheel and see if they operate smoothly. Mine had a "double-bend" at the cv-joint and changed shape with rotation.

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Sam

84 300SD 350K+ miles ( Blue Belle )