Digital BW, The Print

First off, I have to tell you all that I really appreciate the
explanation and advice this post has generate. Roy, you are correct
that  the description of my situation in the first post was that I had
an embedded ICC gg 2.2 profile (which I had set as the default in PS
Color Settings). I also had my screen set up with a custom soft proof
DD 20 profile with PCN on. I did this, not really understanding what I
was doing, because I found that with this set up I could make PS files
that resulted in ABW prints on Premium Semi Matte that pretty much
matched the screen I was looking at. Over the past day, responding to
advice from the group, I have experimented with one worked up image by

1) Changing my PS color settings to grayscale = dd 20 Then opening the
file, getting the profile mismatch message, then opting to convert to
the working space (ie. from gg 2.2 to DD20) then saving that file and
opening it again. At this point the DD20 file is embedded but the file
on screen does not look like it did when I was using the DD 20 soft
proof. I would have to use DD 10 as a soft proof to get the screen
back to where it was.

2) Leaving my PS color settings at 2.2, opening the file (originally
saved with embedded 2.2 profile), and then edit>convert to profile
DD20. The result is the same as above.

I may be shooting for an objective that is impossible and that is
supply a tiff with a DD 20 embedded profile (what the potential
clients require) and have it look on their screen like it looks on
mine when I use the soft proof set up I described above. I.E I would
prefer not to make changes in my PS file since they print well the way
 they are set up now.

I think I understand what has been said about the soft proof approach
I've used resulting in simply a screen simulation. What I don't
understand is why the same device, my screen, looks so different when
I actually embed the DD 20 profile as an ICC profile vs using the soft
proof with PCN. (If I turn off PCN the screen look changes, which is
what I did not like about it in the first place). And I guess that C
David's shirt analogy applies here.

I think I cannot avoid the step I have been loth to take and that is
to embed the DD 20 profile and then apply another curve layer to each
image and adjust for the screen look I want. Correct?