I hunt regularly with both the .308 and the 30-06. Two things, first there is a difference between the felt recoil of a .308 and 30-06, second (oh here comes the fight) there' s never been a more accurate production round made than the .308. It (if I' m not mistaken) has surpassed the 30-06 in high power records. As far as a hunting round they both are about equal at moderate ranges on all but the largest of game animals.

As to your choice of rifles - you can' t go wrong with a Win 70 F/W. I personally have one in .308 with a Kahles 3X9 on it. Very accurate rifle and a pleasure to shoot and tote. Though lighter it has the feel of a full size rifle, which IMO the Rem. lacks.

In sum I' d go with the Win 70 F/W in .308 as an all around rifle.