I would rather my wife have a 10/22 and 25 round mag that I know she can absolutely place bullets where and when she wants to than a shotgun or handgun she doesn't like, or is afraid of. Fortunately my wife loves my AR and its mag of HP's. Whtever you are comfortable, accurate with, and is reliable use it.
Actually, a properly working 10/22 isn't half bad for HD. It's small, light, holds lots of rounds and can be fired very fast, even one handed if need be. If I had children, this is what I'd train them to use for HD.
I don't know about the homebreakers, but I wouldn't care much for being caught in a hail of bullets spitting out of a 10/22!