A few handgun weapon restrictions here in The Last Frontier. These are the only ones I can find. Check Alaska Dept of Fish and Game

Regs state You may NOT: Hunt big game with a muzzleloader, UNLESS: it is a shoulder-mounted long gun and is at least .45 caliber or larger with a barrel that is either rifled or smooth bore and discharges a single projectile.

You may NOT: Hunt big game using a rimfire firearm, EXCEPT: you may use .22 caliber rimfire cartridges to take swimming caribou in Units 23 and 26.

Bison (draw hunt):
Rifle/handgun: must fire a 200 grain or larger bullet, which retains at least 2000 foot-pounds of energy at 100 yards. A .30-06 with a 220 grain bullet is about the minimal weapon that meets this specification.