I think that someone here is dazed and confused.
The best target match rifles makes the poorest examples of a hunting rifle. Many target / match rifles goes over 20 lbs, which would prohibit you from carrying it very far into the woods.
The best rounds for target shooting makes poor examples of a good hunting rifle.
A 50 BMG is a excellent choice for a target / match rifle, but would be useless for white tail deer.
The 300 Weatherby Magnum is a ok deer round but would be terrible for shooting 50 or 100 yards for a sustained period of time.
For more then 50 years, all the accuracy records were held in the military by the good old 30-06 govt. The gun that knocked it off it's throne was none other then the .308 Winchester.
Technically speaking the .300 Winchester Magnum is a excellent choice for both accuracy and hunting. But I would avoid featherweight rifles for bench shooting. Maybe a Model 700 Remington mountain rifle or a model 70 Winchester - pre 64 if you can find one.
The Browning A bolt with boss / .308, is a very good choice for both hunting and target shooting.
Here is a example of one in 30-06 govt.
http://www.browning.com/products/cat...C2%AE-firearms