Alternately, always have the recording going to something local, but trigger offsiting it with something like this and otherwise have a very limited timeframe for keeping it.
The other VERY VERY important piece of this I suspect would be notices posted at every possible entrance to the house, something like "Video and audio recording occur on these premises. By entering, you consent to this recording and to the use and public disclosure of these recordings. If you do not consent to these recording, use and disclosure policies, please call (xxx) xxx-xxxx and schedule an appointment." Perhaps I should call this a kick-through license - I'm not sure it'd stand up, but I suspect you'd have a pretty decent chance of that.
Of course, I'm boring, not inclined to activities likely to inspire either police interest or SWATing, and I live in a mostly-white townhouse community in the 'burbs. My most likely home invasion would be because "you are in a maze of twisty drives and townhouse units, all alike."