hmmm... as one who generally likes the abuse of a handcannon, I've been drooling over the "Alaska" guns since before they came out... & likely my next hand cannon purchase will be a BFR in 45-70... but...
I have a 44 Mag Dan Wesson custom 1.5" snubbie with a 0.5" single chamber compensator, & it's just as easy to carry as any gun I own ( OK, with exception to my NAA Mini revolver )... & again with the right bullets, would be as good a gun to use as any... I'd think any good quality 4" 44 mag revolver ith the right bullet selection would be more than adiquate unless subconsiously you've been wanting one of the new "BIGGER" revolvers
I also own a 50 A.E. though mine is an Automag 5, which is recoil operated rather than gas operated as the Desert Eagle is... the bullet selection in factory 50 A.E. loads would be questionable for bigger bear or momma moose, & the heavier cast bullets should not be usede in a gas operated system I.E. the Desert Eagle... my AM -5 has been very reliable, but would probably be tougher to buy right now... the L.A.R. Grizzly was a beefy 1911 style auto chambered for 50 A.E.
... I'm not sure if they are still available or not, but believe they were recoil operated, so could use a more beastly bullet than the D.E. & might be in a format you'd be more familiar with ( which i very important in "that" type of situation )