Don't rule out an ar15 in 243 wssm or 257 wssm. Both can get you the BC you want and move on up to big game with the right bullet. As for a bolt it's hard to beat a cz IMHO. With the AR a 223 rifle of your choice and an ar upper in 243wssm or 257wssm will be just as accurate as a cooper if you stick with heavy barrels and a good trigger. Just for reference a 17 rem, available in the ar or 223 is about as strong as you are going to get if looking at pelt dameage. Beyond that you need a thicker skinned bullet for a through and through.
Blessings.