You probably won't find the true lower bound strength - reversing direction tends to cause surface to "re-roughen", resulting in increased resistance. If you want to get closer to a true lower bound, you'll have to disassemble after each cycle, separate the two halves of the shear box, put it back to the starting position, reload it, etc. It's a real hassle, and you have no guarantee that you will achieve the absolute lowest residual values. But the values achieved this way should be lower than you will get by the multi-reversal technique.
Multi-stage may be okay if you don't have any granular material in the sample.