A slight variation of Chief101's suggestion is to:
1 adjust the die with the lock ring loose and not even snugged up against the press
2 when the die is correct, snug the lock ring against the press, but not so very tight that you cannot loosen it by hand
3 back the die and lock ring carefully out without changing the position of the lock ring with respect to the die
4 Lock the lock ring onto the die (by tightening its set screw
5 reinstall the die, hand-snug against the press
6 re-check the adjustment of the die
7 if the adjustment is off, unscrew the die/ring, loosen the set screw, adjust the ring in the direction needed and repeat, starting at step 5, as necessary
Never install the die so tightly that you cannot loosen it by hand. In this way, you will not change the position of the lock ring, which has now become your reference datum for installation. Do tighten the lock ring sufficiently that you cannot change its position by hand. Then never use a wrench on the die or lock ring again. Only fingers. Thus your adjustment will be maintained.
Note that this is not unlike the Lee "O"-ring system. A degree of care must be taken any time you install the Lee die/"O"ring/lockring assembly so that you do not lose the relative positioning of the die and lock ring. A weakness of the design, perhaps, but not necessarily fatal to use of the idea. In use, the "O" ring squishes into a channel in the lock ring and friction with the press, die and ring holds everything in place...until you unscrew it So you must take care when unscrewing.
Note also that if you want to snug the die/ring against the press with a little more security than just hand-tight, you can put an "O" ring between the lock ring and the press (and adjusting the position of the lock ring to compensate). Friction secures the die/ring position pretty well. This is even more like the Lee system, but the position of the lock ring is much more secure than what the Lee system provides.
Clear as mud?
Lost Sheep