_YO_YO_, I doubt that you would have a problem shooting your .308 at a match there, unless you plan on using your scope. Throw some good iron sights on your bolt action, and shoot NRA Highpower Match Rifle. For 1000 yards, you'll be shooting Palma. There are also Any Rifle/Any Sight competitions that occur at most big clubs throughout the summer.
Concerning "why" there aren't a lot more competitions for the use of scopes, I think that the answer is that most shooters have found that, under good light, good open sights can do anything a scope can do, but it's more of a challenge. No magnification, so your eyes must be in good condition, and your hold must be solid. Also, the "tactical" group is in a small niche. Folks who want to shoot MAO groups at long distances without aid of optics or a support of any type have a large established sport. Folks who want to shoot tiny sub-MOA groups at medium and long ranges with optics and a solid bench have a different sport (Benchrest). The "tactical" guys are trying to shoot sub-MOA at long distances with optics and a quasi solid support (bipod) are trying to get another sport started. It's only a few years old...Highpower, in one form or another, has been around for close to 100 years. Benchrest has been around for probably 70, I'd guess. "Tactical" has only been around for maybe 10 years. We may see that sport continue to grow, but these things take time.
Before you decide that not using a scope isn't fun, I'd like to urge you to at least try a Highpower match sometime. I think you'll find that it's a darn challenging disciplene. Besides, don't you want to be able to use irons really well for the day that TSHTF and you trip and damage your scope?