We use a version for setting siena Stones, Ready Rock, Dura Hold walls. With stones weighing in at 480 to 1600 lbs, we make the footing trench, have the soils guy test for compaction, then crane in the stones. After the base course is down, you can fly through a wall and because of the mass weight and size, you can go pretty high, 10-15 feet depending on soils with no strata grid. 3 guys on a crew with a crane can knock down 2000 square feet of wall a day.
My roommate here at school used a machine called an Anver that was like a giant suction cup. You would set it on the stone and turn it one (electric) and vacuum pump would suck this big rubber suction cup to the stone. The stone and unit could then be picked up my a skid steer or something similar and put into place.