300mag and 7mm Mag
I have both of these and they both will do just fine. They are not rounds I will shoot at the range to plick with due to both cost and recoil. I really believe they are both pretty perfect rounds for what you are looking for though. But if you are really looking for a rifle to plick with buy it and then buy one or both of these to hunt with...
I have .223 and 22-250 cal to plink with and the 22-250 will reach out pretty far.