"New Guy" weighing in. I collect and have a few 12ga. Mil. Issued Riot Pumps. (I have 13 different Shotguns, at last count.) By far the most devastating up close and personal Firearm ever distributed. There are those that laugh, and it is an Internet Joke, about hearing one racked and P'ng on oneself. I can tell if you hear one racked in close proximity and it does not get your undivided attention, you are not fully paying attention, or realize what you are hearing.
Also, #1, I have a young (4 yrs old) athletic Pit (Buddy) that would be on you well before I could engage. #2, my main concern would be not hitting my Pit while he is attached to you. #3, if I have to shoot at you at inside the house distances, my prefered #4 Buck, or #4 Heavy Field load would be more than adequate. Thinking you "do not have to aim a Shotgun" is misleading. Shoot one at 50-75 yards distance in to a pond from an elevated position, will prove this to you. (My standard shooting range off my back deck.) Inside the house distances, you are talking about a 3-4" diameter shot spread. If that.
IMHO, aHandgun is only to get you closer to your Long Arm should you be caught off guard. No one is going to take my Shotgun from me. There is this thing we practiced over, and over, and over called a "Butt Stroke" that is rather devastating.
Also, I keep instant on high lumen light, attached to my inside the house Firearms. I will not be shooting blind, you however will be blinded when i hit the instant on switch. It is all about being prepared, and in the proper mindset.
Your view may differ. (YVMD)
My 2 Cents.