Very well said, Cheap, and I would add that twice distance most bow hunters limits, i.e. about 50 yds +- for traditional hand guns, not Contenders firing rifle cartridges & scope mounted, as part of the limitation is due to energy levels as well as accuracy.Handgun hunting is very much like bowhunting. Hunt smart, and get as close a shot as possible. Take carefull, aimed shots only, and don't try to over extend the capabilities of the caliber you are using.
DA or SA, take only the shots that you are 100% sure are going to do the animal justice. My own criteria, is all six shots from a good iron sighted revolver on a 6" paper pie plate. With the possible exception of the 10mm or one of the .44 Magnum auto-loaders, for me, that means a revolver. The ability to carry 10-15 rounds in a magazine should not be one of the criteria for a good hunting handgun.
YMMV, Rod