I have shot a .308 out to 3/4 of a mile. Rings a 1/2 inch steel plate more than you could imagine. There are pros and cons to both rifles. The worst for the 308 is most of the reloading components are hard to find. Varget is like plutonium you just about have to by it on the black market to get it. For the 300 would be the recoil. The barrel life is some what a dead issue. You could put A LOT of rounds through it and not see a difference. Most shoots say the barrel shoots out because of their standards. If you are happy with an inch after 1700 rounds, then when does it shoot out.
The biggest thing I would suggest is what ever rifle you buy.... it should be one with a good platform to build from later. Sako, Remington, Savage, you know.
As for ballistic advantage... you will have to run some solutions and figure it out for your self, this is the best way. Both guns will shoot long range, the 300 a little more as you can put more juice behind it. But remember more juice is more money and you barrel will like you less. While running the solutions just remember.... the speed of sound at 2400 feet is roughly 790 MILE PER HOUR. Think of the tip of a bullet hitting a moose at that speed, will it die??? You need to maybe pass a rib or go through it and into the chest about 3-4 inches to touch the heart. Everything after that is bonus!
I would suggest a .308 but then again I have shot that caliber more than the 300. You will have to bite on one and shoot it. That is the only way to really know. What ever one you choose they will both do the job.
7even