35 Whelen. 06 brass with a lot more smack and it's not even close. 225 AB in the Whelen shoots right along with many of the bigger magnum and non magnums mentioned here and is a lot more pleasant to shoot.
And anyone shooting at g bears at 350 is a loon to toss out some of the cartridges suggested here. Grendel?
. Yes it CAN be done but probably shouldn't be.
Quick look at the Yukon and Alaska recommends pretty much says it all. Probably not a lot of guides on Kodiak will let you off the boat packing any kind of under .308 bullet and even those are going to earn some chuckles. Or smacks. Take your pick.