Digital BW, The Print

-Well, I thought I understood, but i seem to be running in place. I re
set my PS color space back to GG 2.2 and opened a new image file. On
screen it looks as usual, a bit dark. I went to image>mode>convert to
profile. That box has GG2.2 as the source profile, and I changed the
working space to DG 20. At that point there was no on screen change
(ie, the image did not look as it does when I choose DD 20 in the soft
proof set up). So I'm not sure what if happening, and I'm not quite
sure what to expect to happen. I want my screen to look like my print
(which it does with soft proof = DD 20), and I want the people who I'm
sending the file to to see it that way also when it is tagged with the
ICC DD 20 profile as they request (they are not printing this file
out, just screening it). I also want, each time I reboot the file to
work on it or print it, for it to look like it does when I view it
through the DD 20 soft proof but without having to go through that
step each time.

I'm sorry to keep throwing this back for help. It bothers me that I
don't quite get this. I've worked really hard on these print files
(there are 40), and I don't want to make a mistake that screws things up.

So thanks again in advance.