If I want to use factory ammo to get the best out of a new rifle, I'll usually try to find some Federal Premium. In my experience just about any caliber will shoot very well if it's a good rifle and I do my part.
I like to shoot the Federal Premium High Energy with the 165g Trophy Bonded Bear Claw. I've chrono'd it at just under 3000fps. My old Savage shoots them quite well.
Killed every animal that I've poked with one. In fact, I've got a used bullet here at my desk that is a perfect mushroom that punched through a cow elk at 400 yards. Found it in the hide on the far side.
I realize each gun shoots different loads better, but I'm just curious to know what factory ammo out there people have had good luck with in .30-06. I'm going to be using this for deer hunting.
As far as factory ammo goes I have seen very few rifles that won't shoot Remington Core-lokts with very good accuracy. While core-lokts may not be the best constructed bullet out there they do seem accurate. I'm thinking your best bet is to try some different ammo brands to see what your gun likes.
You need to find the load that your rifle likes. I have a Tikka T3 .243 that shoots better with "cheap" Monarch and Fusion ammo than the Fed. Premium. Just because it is more expensive does not guarantee better results.