Crazy alignment problems
I think we have been here before but it really sounds to me that the lower control arm bushings are causing the problem. Did you put poly bushings in or rubber stock style bushings, My friends 69 barracuda had poly bushings and did the same thing you are describing, he said they look good and I told him to pull the arms off and check them and they were smashed out sloppy. He put in rubber ones and he said it drives like a new car.