Don't pretend you haven't got the power. I have no idea how many times I've heard on the news that 'police are to be given new powers', but it's a lot.
LOCK THE FUCKERS UP
You've got, no doubt, thousands of tip-offs from people telling them their neighbours were unloading looted goods last night. Act on them.
You know who they are. Some of them, you've already arrested 30 times. Start with these ones. Work on the assumption that they haven't turned over a new leaf.
For once, fuck the paperwork. Don't worry about it.
Say it got burnt.