I have cut three .44 mag. 240 grain soft points out of two bear, seen a wounded bear killed at 2 feet with two rounds of .357, august 3, 2002.That same guy killed a wounded bear with a glock 9mm once. The three .44's penetrated about 6 inches into the head neck area, for that reason I think shooting there is a waste of time with a handgun. I had a .45 1911 pistol that I dearly loved but when I started calling seriously and the number of bears and cats in our area, I traded that .45 for a ruger 5.5 inch .44 Redhawk. loaded with 325 grain solids hardcast, I still think it will take an ear shot or ribs to the heart lungs. Trouble being a heart shot bear can die slow!!!??? LOL The throat might work but the position you'd have to be in to get the shot might not be fun.
just my opinion, there are many more powerful handguns but the .44 is about all the recoil I want to deal with.
there is some good advice in the prior posts.