I've heard rumors that in lieu of the shift, RHBs would have all balls hit to RF counted as outs and all LHBS would have all balls hit tot LF counted as outs.
Additionally, if there weren't enough players available for a particular game (maybe they didn't finish up their chores in time to play or maybe they were away on family vacation or something), instead of throwing the baseball to the bases to record outs, the defense could use the "pitcher's mound out" rule.