1. Don't shoot that 44 Mag without lots of ear protection. Most hunters use rifle ear protection while practicing on the range, but don't use protection while hunting. Don't do that with a 44 Mag. Use electronic ear protection.
2. I like a cross-draw belt holster or a chest holster for hunting. Wear it outside your parka, not under your clothes. These 2 holster options require less movement and are easier to draw in a tree stand.
3. Use a rest. Carry a long bi-pod if stalking, use a tree, etc. Don't try to shoot off-hand.
4. Sights are whatever you prefer, scopes, open/iron, reddot, doesn't really matter unless you plan to take 100-200 yard shots, then I'd use a scope.
5. Buy a pistol with a good trigger with no creep. If you think rifles can be pulled left or right from bad trigger control (ratchety, heavy, creep), multiple that times 10 with a pistol.