Few questions..
Does it lock immediatly or does it take a bit of driving for it to start happening.
Jack up the rear and verify that BOTH rear brakes are working and apply at about same pedal distance (you'll need someone helping you)
Make sure your parking brake is free. Could be partially applied causing one side to get hot.. Just an idea.
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'71 LWB
350/350T, PS/PB
Special options? Yes, RUST... Need some?
Garrett
Olathe, Kansas