Tapered ball joint studs remove so ridiculously easy, I'm almost ashamed to admit it took me 30 years to find this out. You need a garage air compressor and an air hammer. You add a blunt shaft to your air hammer, get everything ready by removing the specific wheel/tire and loosening the ball joint nut (but don't completely remove it). Hit the usual pounding spot on the upright with a burst from the air gun. The tapered ball joint shaft will be loose before you can get your finger off the trigger!
Works on front ball joints and tie rod ends, too. I have retired my 8 lb ball peen hammer.