Go for it young man. I hunt deer and black bear with a 300wm. It's a Remington 700 sps and it will shoot 3 shot groups of 150 gr Winchester power points at 1 inch all day (got to let the barrel cool awhile between groups). I've tried all kinds of ammo for this rifle and it actually prefers the cheap stuff - about $26 a box.
Don't have any experience with the 2 rifles your looking at, but the rem was a great deal for me. $520
Also I'm of the school of thought that you can take that 300 and download it to 3006, 308, or even 3030. But you can't upload any of those to 300