No, there is no sanctioning body. We call it VMBAR and VMSAR: Vintage Military Bolt Action Rifle and Vintage Military Semi-Auto Rifle.
We shoot two local matches held on a monthly basis. One Saturday we shoot bolt guns, the following Saturday we shoot semi-autos. In addition, there is another match in a neighboring town (Boulder City Rifle & Pistol Club) where we shoot metalic silhouette on the first Sunday of the month with the same rifles and most of the same guys are involved in that match. At our local match (Desert Sportsman's in Las Vegas), the furthest target is at 385 yards and is smaller than the target dimensions I posted above. In the silhouette match the furthest target is the ram and it is at 500 meters.
The match that I spoke of in my post is held three times a year in Northern Utah, at Promontory Point. It was what started the whole thing with us and it put on by a couple employees of Browning. The next one of these matches is next weekend.
That match is a two day event, but most people get there on Friday and leave Sunday night, camping at the range. Friday, you can shoot as much as you want: you can get your sight dope as well as try out all kinds of other rifles that you arn't going to use in the match. Saturday is bolt action, Sunday is semi-auto. Each day is considered a seperate match and the match consists of two stages. One stage is obviously, shooting on the range from 200 to 800 yards. The other part, you go on a "trail walk". There are about 5-6 stops along the way with shooting senarios. The targets are at unknown distances and you have to shoot from field positions. Usually, the grass is too high to use prone. On that trail walk, I think the most distant target is around 400 yards. Most of those trail walk stages are: as many rounds as you can get off in 30 seconds and a couple also have a pistol stage. So, you might have to fire a half dozen shots with a pistol, get into position, extimate the range and fire away with your rifle and hopefully needing to reload: in 30 seconds.
Ton of fun and real cheap to do since we are using milsurp rifles. We have gotten a lot of people with no shooting experience into becoming regulars because the rifles (bolt rifles) are typically like $100 so everyone can afford it. I am happy to say that we have a whole lot of female shooters as well as kids. As well as at least one single mother and her kids who didn't own a gun before this and now are totally into it.