Write a mobile app - or maybe crowdfund a gadget - that would be an always on video camera, or perhaps just an audio recorder with a sometimes- but not always-on camera.
This would be done in such a way that it is simply not possible to erase the recording, not even if law enforcement confiscates your device. The most-straightforward way would be to upload it to a server however law enforcement could take your entire server, or block access to it &c.
Worse who ever operated the server could be subject to prosecution, say for enabling wiretapping. Yes, I know. :-/
However a solution would be for that server to be a Tor Hidden Service. That would make it difficult, maybe impossible to physically locate the server or its admins; it would also make it more difficult to block the communication between the recorder and the server.
Commonly overlooked is that it's not enough simply to operate a hidden service; if someone does grab the actual box, then they've got your filesystem. For this to really work you need a fully-encrypted disk. But then you have the problem that the OS as well as the hidden service require private keys. If you store them right on the box then you lose.
Possibly Trusted Computing would help somewhat. However another way would be for, when the OS boots, it cries out for help in some surreptitious way, say by posting a racy JPEG on imgur. When an admit sees that JPEG show up on Reddit, then he transmits the secret keys to the server.
There is also the problem that, were these recorders always on, then they would record things that anyone would want to be private. Typically we would want whoever possessed the device to choose which recordings to release to the public; however if they were required to do so under a subpeona, again we lose.
So there should be more than one person making the decision. Whoever has a legimate reason to want privacy, as well as someone who can deny a subpeona with complete safety, in principle the server admin.
This outline doesn't scale at all well. I've been puzzling over it for a little while and I can see that it could be made to scale.
But this is the very first time I've written down any of these ideas.
If you can make something of this, More Power To You.