There is so little practical/performance difference with those calibers that your choice really won't make any difference in the success or failure of your hunting. Both those rifles are equally good bets too. I happen to own a Tikka T3 Lite and I love it, but I consider myself a Remington man having owned many. For the money, the Tikka gets my vote and it is super accurate right out of the box, but, on the other hand, I just came from the rifle range, and I shot a sub-one-minute group with my Remington Model 7 (300WSM) at 300 yards! Seems to me you just can't go wrong with any combination of these calibers and these rifles. Those red deer had better watch out!