308 is a great CAL.
Well @ $1500 it will be a bolt gun as a auto will be $2500 - $3000 in .308
Both Remington and Savage have rifles in that price range
Savage any thing in the "10" lin up would be good. I like this one but it's about $1700 and real heavy about 16lb
You will also need a good scope in the 5x22 x50 range. Night force NSX or Leupold M4are great scopes and you will pay about the same for eather one about $1800 and rings will be about $200