RE: best western states all-around cartridge
Of the cartridges you listed I would choose the 300 Winchester Magnum. It's a wonderfully accurate round and it has a plethora of factory ammo availble for it. I would say the 300 could possibly the best all around cartridge for all North American game animals. I say this because even if you choose to hunt the large bears the Barnes X will do a number on them. Flat trajectory plenty of energy and manageable recoil for most shooters. Also, if you reload you can load down to 30-06 velocity for practice and plinking and load heavy loads for elk, moose, & bear. This is only my opinion of course.