Pretty hard to go wrong with a 7mm-08 but there are a couple of golden oldies that would also be good. Either a 257 Roberts or a 6.5x55 Swede would also be really good with my nd going to the Swede. It is a very light recoiling round and it is extremely effective on game. I have a Rem Model 700 Classic in the Swede and it is my favorite gun for pronghorns. Normally I handload for just about everything but the Seller & Belloit factory 131 gr round is so accurate in my rifle that I have never found a handload that will beat it. So I laid in 500 rounds of that ammo and called it good.
Everyone forgets about the golden oldies for some reason.