Anyone have information about what's happening with, or to, the Wyoming Schuetzen Union? I've applied a couple of time for access to their forum, but never received any communication from them.

Then, in a somewhat related matter, there is currently a small group of /single shot/Schuetzen shooters in northwest Wyoming (Cody) and south central Montana (Red Lodge). We shoot every Sunday morning in Cody and we've been talking of organizing a club. Would it be appropriate for us to formally affiliate with ASSRA? We're members. We shoot indoors during the winter and occasionally meet for a winter outdoor shoot using a makeshift shooting house at the Cody Shooting Complex. All shooting is outdoors during spring, summer and fall. The idea is, of course, to have a good time, good fellowship and friendly competition. I'd also like to develop some activities that promote the single shot sports and expect that we could enlist some assistance from The Buffalo Bill Museum Firearms Museum, but I believe affiliation with a larger organization that has a solid grounding in single shot rifle games is essential. That's ASSRA in my estimation.

I would appreciate any comments you might have, positive or negative.

No, Red Lodge doesn't have a range; a couple of shooters from there come to Cody to shoot. I've heard something about 
Stillwater, but not much. Cody (town) Shooting Complex has a lot of potential, but not the specific facilities needed for our kind of shooting. It will take a lot of volunteer work (if you want it done, do it yourself) and some creativity in terms of attracting younger shooters. So far we're all "geriatric" here. I know there are young people who would like single shot games, but wading through the black gun cabals to get to them is a challenge.

Thank you for your interest and your comments. Where are you located?

Geezer.   To answer the other part of your original question.  It is absolutely to your advantage to affiliate a new club with ASSRA.  Very easy to do.  Need 5 ASSRA members (not sure anyone is counting)  and send $15 to Ought6, Alan on this forum.  See the magazine.
With an affiliated club your scores become "official", Records made are honored, and scores you send published in the magazine.
Best advertizment for a club is for people close to you to see evidence of a match.  Maybe they will show up at the next one. 
I hope this is all correct.  I am not an officer.       Good luck