*IF* you are speaking of "normal" hunting distances , aka within which 95% plus of deer, etc are shot , a .308 is just fine .
IF you intend to shoot diagonally accross a 400ac field, or waaaay down the length of a power line ( and have the suitable long range shooting skills ) , a 7-08 , .260Rem , or 6.5Creed ( or several Wildcats) ( or 7x57 , or 6.5x55 ) would have advantage, with similar or less recoil than .308 .
Thanks. There's no way I'm taking a shot longer than 300 yards until I get some serious trigger time at longer distances. Will 6.5Creed or any of the necked down 308 cartridge offshoots really have noticeably less recoil?