.44 Magnum is unnecessarily bulky and powerful for a CCW gun. Unless you are a very seasoned shooter, it will also be much too difficult to control in the rapid fire you will need for defense.
If you like revolvers, look at a medium-frame .38/.357. .357 Mag is amply powerful for defense, kicks less than .44 Mag, and the guns are smaller and much easier to conceal.
If you are set on a big-bore revolver, are a very big man who can conceal a large-frame revolver, and want to go to the trouble of carrying such a cannon, consider a lower-pressure big-bore like .45ACP or .45 Colt. You can also load a .44 Mag with .44 Specials, but carrying a very big revolver with these power levels seems rather "size inefficient" for CCW.