Digital BW, The Print

I have spent two days with i1 generating and trying various ICC 
profiles created with the QTR Create-ICC.  I've used both the 21 and 
51 step wedges, and tried the profiles with both Epson 2400 
ABW "darker" and "light" settings.

What is very impressive is that (using PS color mgmt. with the 
profiles) no matter what the ABW settings the prints are virtually 
identical (used with the correct profile for the ABW setting).  The 
profiles and PS color management are clearly compensating for printer 
and Epson driver "irregularities."

What is not impressive is that I cannot get anyhing close to a sceen 
match for the prints.  With a monitor calibrated to 5K and 2.2 I have 
been unable to find a workspace profile that even remotely previews 
the print accurately, including the use of the i1/QTR generated 
profiles for "soft proofing."  All the screen views are much lighter 
than the print, and contrastier than the print, and the tonal 
distribution is different.  I can produce a hugely more accurate 
screen view of the print with a PS curve for viewing.

I am aware from Steve Kale's previous posts of the BPC issue with 
Create-ICC, but the discrepancy I am experiencing seems to go way 
beyond this.  I can't see what I'm not understanding here.  Any 
thoughts about this?

Thanks,
Walt