Personally, for HD, and as a woman, if using a shotgun, I prefer the pistol-gripped riot style. It's a little heavier and of course longer than a shorty, but easier to grab for me beside the bed.
As far as not going through the walls.....you know, as long as I know everyone is in position within the house during an attack or if I'm home alone, I don't really much care if the slug goes through the walls. In fact, I'd feel safer if it does. Mine is loaded bird, slug, slug, buck, buck, bird, slug.
Bird to weaken the sheetrock. Slug slug for direct penetration. Buck, buck to subdue and go for the kill. Bird and slug if the SHTF and I'm stupid enough not to get him with the first 5 rounds.
Sheetrock can be replaced. Lives cannot. I'd rather have a wall seperating me from the perp that I know my shots can get through to either slow or stop the perp, then be standing eye to eye in a showdown. may be more exciting, but a lot less safe in my eyes.
Shan