If I were looking for a 200+ yard rifle, I would be looking at the Thompson Center line of rifles from the Black Diamond XR, Omega, Encore, & Pro Hunter. All of them I think would do all o fit that. Of course all of this will take practice and the right bullet combination.

If you do not find the actions you like in the T/C group, then look at some of the Knight rifles. If you can find a Knight Disc Elite, or actually any of the Knight Disc rifles, they all are great long range shooters. I've not read enough about accuracy issues with the newer Knight Revolutions and Visions. I am sure they would do the job. My Knight Disc is a great shooter.

I personally think my White Ultra Mag loaded properly could shoot 200 yards, but have not had the opportunity to try it out. It shoots about anything I shove down it real well and with amazing accuracy. Still, the White while being built like a tank, still has company issues. Although I hear all of that might be changing.

As for the BPI product line. My Staghorn is a great shooter out to 125 yards which is the furthest I have tested it. I never have an opportunity to shoot those kind of distances other then going over to the farm and shooting across the hay field. This year the farm has been too dry.