As a side note, I've watched from screen to print, and recommend it like others have said.
For your original matching monitor question...
I have an Asus ProArt PA246Q. It's a ~$450 wide gamut 98% Adobe RGB coverage monitor. Much better than typical monitors, almost as good as multi thousand dollar monitors (from what I gather in my research incl colorthink profile comparison, I've never had one of those), but much less expensive. The point of saying all that is that it's a good monitor that should be within my customer's budgets.
I've told my customers if they want to see what I see, they can purchase one of these, and (if they're local) I'll set theirs to the same settings as mine and profile their monitor with my i1 photo pro 2. Have several customers who think they will do this someday, but none have yet. Life would be so much easier if each of them went this route...
Short of that that, I offer to profile their monitor, but tell them they just aren't going to see what I see. Just because you profile two different monitors doesn't mean they're going to look exactly the same. Huge difference especially depending on how bright they are. Theirs probably can't go as dark as a professional LCD can, and if you keep yours as bright as theirs, you'll need to be using a lightbox if you want a really close match on your side.