If you're a one gun guy then definitely don't rule out the 7mm short mag! I have a tikka 270wsm and it is a great round with mild recoil, the 7mm would be a perfect killer for all our Northwest variety.
I've shot a few 300 WSM
's and let me tell you the heavier bullets (208 Amax) create recoil that is on another planet compared to the 270 WSM with 165's.
you can use a brake but in a hunting situation that can present another set of problems. Keep it simple get the 7mm it will serve you well.