So, streaming your dashcam video off-site the whole time you're in the car isn't practical given bandwidth constraints. But what if it's only when you're being pulled over? What if that happened automatically?
Police lights have distinctive flashing. It should be possible to analyze the images from a rear-facing camera, pick out the flashing, and start up a stream.
Bonus points if your lawyer automatically gets an email with a link to view it live, in case they happen to be in the office...