Here's an idea for a great Alaska anti-bear rifle, for dealing with really big game like this.
Take the Russian VEPR rifles. They're semiauto AKs built on RPK receivers, which are heavier and stronger.
Now, scale the gun up, up, up. .45-70 Government, .338 Win Mag, etc.
Attach a big cushy recoil pad.
It'd have 5 and 10 round detachable box magazines, and could be scoped without blocking the iron sights.
To be really nice, give it synthetic furniture and nickel plate or polymer coat the rest of the gun, for weather proofing. These guns already have hammer-forged, chrome lined barrels.
You'd have a 9-lb package, but you'd have at your disposal 10+1 shots of .338, .45-70, or whatever else you'd want (maybe 7mm Rem Mag?) as fast as you could pull the trigger.
Not as accurate at long range as a bolt gun, but probably more solid than a BAR or Remington self-loader. Besides, most bear attacks happen at close range, right?
Just an idea.