Here's something to think about.
I hunt, and I hunt A LOT.
I own a M1A's, AR-15's, Mini-14's, AK, SKS's, etc......
When I go hunting, I take either a Winchester Model 94 (30-30) or a Remington 700 SPS Tactical (.308)
Lately I've only been taking the Remington 700 SPS Tactical. It's very accurate with my handloads (I routinely put a bullet inside a bullet at 100 yards), it's got a 20" barrel (Makes it easy to manuever in the deer stand), and it gets the job done.
With a 308, even in a gun like the M1A, you will STILL lose your sight picture due to the recoil. I've yet to fire a .308 rifle that you still can see the deer in the scope when the bullet goes off.
If you want a gun that is a proven deer killer and you want to see the target through the scope when the rifle goes off, go buy a .243