RE: 308 yote round
the 308 would be fine with heavy bullets and i don't think you would need to use the barnes lots of bullets cheaper then that that will do what you are asking. but if you are buying a gun just for yotes i wouldn't get a 308 but a 223, 22-250 or 243. all of these are easy to shoot, cheaper rounds, and will perform better then the 308.
i wouldn't suggest anyone to use the fmj bullets. almost all of the time they will past through without opening up or losing much speed and either richichay (i know i can't spell) or just continue to head downrange and who knows what it is going to hit. not very safe. also because the bullets don't open up at all most of the time the yotes will run 50-150 yards before pilling up and with that small of a hole going in and out their will be no blood trail to follow