In North Alabama we have a monthly .22 match. The club is the Cavern Cove Rimfire http://www.caverncoverimfire.com/
They have several different categories, one of which is Cowboy - you use two single action revolvers and a lever or pump rifle. When I shoot the cowboy style, I use a pair of Ruger Single Six revolvers and a Ruger 96/22 lever rifle.
The other categories they offer are:
Limited - Auto pistol w/2 mags loaded 5 rounds each, and an auto rifle both with iron sights
Open - Auto pistol 2/mags loaded 5 rounds each and an auto rifle either or both with optics
Mechanical - 10 shot pistol and lever or pump rifle
The format is the same as for a SASS match, metal targets at 7-10 yards. We shoot 8 stages for 160 rounds.
It is a blast and lots of the Cowboys shoot the match.