Couple of things, okay a few things to think about: Size, weight, recoil, overpenetration, concealability.
When people talk about carrying "a snubby" they usually mean a small, concealable gun. A .454 Alaskan, N-framed Smith, or even a 3" GP100 are not exactly small, concealable weapons. I carry a 3" N frame 624 .44 Special on occasion, and it's one of the larger guns I try to carry. I can more easily hide a 1911 or a full size Sig P220.
Obviously I like
carrying it or I wouldn't. Carrying a gun that large requires
a good belt and holster. It weighs almost 3lbs unloaded, for crying out loud!
When people talk about carrying a concealed snubby, they're usually talking about something like an LCR, J-frame, or SP101 at most. These are usually .38 and/or .357 guns, and often have 5 shot cylinders to help cut down on bulk.
And then there's the recoil, or "punch". Yes, a short barreled .44 mag can be a handful. Even my 4" Redhawk with factory .44 mags can hurt. And I would never carry .44 mag as a self defense round. It's simply too much for personal CCW use, imo. The guns themselves are big and heavy, and the round has so much power and penetration that you are virtually certain to "shoot through" your target, which is not something I want to do in a public situation. And I'm not a cop, shooting through car doors to stop a fleeing perp. Bears, cougars, etc, sure. Humans? Too much. Sure you can shoot .44 specials out of your mag gun, but then you're carrying around an extra couple of pounds of steel for no good reason. That gets heavy after a while.
I would suggest you try to find a range where you can rent some guns and see what you like. More than one guy has decided he "needed" a .44 mag as his first gun, went out and plunked down cash on a S&W 629, then put it away after firing his first cylinder full of full-house rounds. I'm not trying to discourage you, just offer a little rationality.