I have CZ 58 and its a great rifle. More then capable of doing what you want.
I do believe you can get it in 5.56/.223 caliber as well as 7.62 x39.
But 7.62 would do just fine even at 300+ yards ( with optic of course) , but it will also be harder on recoil and harder to customize .Not that many options on rails and accessories as oppose to AR platform. But if budged is an issue , I'd have no problem trusting CZ.
I'm not competive shooter by no means. This is just my 2 cents