If its an hostage situration lead it to the police. Its unlikely you be able to get a headshot, take someone down and such with the adreneline going. Even trained hostage rescuerers wouldn't want to take that shot.
The carbine does have advantages though over a shotgun by the narrowness of the damage compared to the shotgun, and it will increase the power and range of pistol rounds and make them more accurate. I even picked up a Hi-point carbine recently and simply stick it under the arm. Its easy to bring up to firing and should take care of the problems we been having here with rabied bobcats.