Digital BW, The Print

I think Roy's earlier post about how various spaces display may be the
most relevant to you. You state you are linearizing your processes to
LAB, but the shadows on your monitor in 2.2 are compressed compared to
your print.
I assume a step wedge printed with one of your processes linearized to
lab separates to your satisfaction.
Gamma 2.2 will not display those values the same at all.
It may be worth your time to download Roy's gray lab working space,
install it, open a step wedge, assign (don't convert) Roy's space to
it, and see if you get a better match.
It won't address the differing dmin/dmax dilemma, but the progression
of values may be much better, particularly in the areas you now have
trouble seeing on the monitor.
Tyler