Throw a JP Rifles JPoint sight mount in the rear sight slot and a Burris Fastfire III or Trijicon RMR on top and your Alaskan's accuracy/sight-ability and recovery time back on target will improve greatly (as long as you don't have an astigmatism that turns a red dot sight into a fireworks display).
I wouldn't spend much time chasing 340grn pills. Nothing wrong with them, but they don't do anything 300grn pills don't do, except rob you of powder capacity, and add recoil. 300grn pills out of a 44mag or 454C will kill a bear just as fast, on light bears, I'd even use a JSP, Barnes XPB, or A-frame and let it do a little expanding. 44mags are big medicine, 454 and 480 even moreso.
The fiber optics for the Ruger Alaskans do hold up, but for me, they're snag city with their blocky form. I did my carry alaskan with a shark fin type front and had Amerigun install trijicon tritium lamps.
I've killed deer and coyotes with Alaskans, started hunting with one in 2006 or 2007. It's one of my favorite firearms ever produced, largely because it lacks so much in inherent practicality. BUT!! If a guy can master it, it's incredibly formidable.
Snubbies will kill game too - my wife has taken a few doe with a 2.25" SP101, one as long as a lasered 43yrds.
I'm not intrigued enough to spend the time researching it, but after spending the last ~18yrs hunting around the nation with handguns, I'm prone to expect there are more states with no restriction on barrel length than states which do.