Any of these three would work. I've never hunted the big bears but would think that all three would work well with the right bullets...
Truly a pick' em as far as performance goes.
I am a huge 338-06 fan, and would not hesitate to use it on anything with the exception of elephant and rhino.
If a family member asked me I'd have to pick the .338-06 dead last, since none of them handload, and they'd have to custom order the ammo.
Otherwise, take all 3 rifles with you hunting, shoot 3 of the same animal, and you wouldn't notice the slightest difference in performance within 300 yards.
That is something to consider, but a 375 H&H or 338 Win Mag would be more logical? If going down that rabbit hole.
All three benefit from handloading.
