You might consider looking into shooting with an NCOWS (
http://www.ncows.org/) affiliated club. They're not as pervasive as SASS, but they have a "Working Class Cowboy" division that shoots with only one revolver and one rifle. I actually use my 1858 Remington NMA cap and ball revolver and shoot this division at the local club. NCOWS shoots with the targets further away than SASS, and the targets and shooting scenarios are a bit more varied. Since the emphasis is more on accuracy instead of just sheer speed, there seems to be a bit less of the "gamer" attitude, although I know the presence of that will vary from club to club within any organization (I haven't seen any hard-core gamers at any of the SASS only organizations I've visited here in Texas).
As an organization they are a bit more focused on historical accuracy (the organization was started by re-enactors) but that actually allows some freedoms that aren't in SASS. For example I've shot stages with Derringers in addition to my regular revolver and rifle. On the other hand, they don't have a "B-Movie" category of dress. They also expect you to conform to certain dress standards within a year of joining. I'm *not* a re-enactor but I found their basic dress requirements *real* easy to do.
The club I shoot with (The Texas Ten Horns) is affiliated with both SASS and NCOWS. You can find some pretty good info on the differences in clothing and weapons at their web site (
http://www.texastenhorns.com/). I personally find the Ten Horns web site much easier to get information off of than the NCOWS organizational site.
My understanding is that some SASS clubs are starting to implement a "Working Class Cowboy " at local matches, but I can't confirm that for sure. Either way, you can find links to NCOWS-related clubs at the NCOWS web site, just like you can find links to SASS-related clubs at their web site. Look for the clubs closest to you and check them out. Sometimes you find that at the local level they're 'looser' about certain things than the national organizations are, and both organizations are real good about welcoming new people who want to check them out.