Man, bummer. Sorry to hear.
Police report == good idea. The way the police see things may be different and helpful. And, every now and then, they catch the bad guys. Not sure they were called to the scene right away, but they are good at spotting clues. My house was hit by a vandal, and the initial police response and follow-up when we found the culprit ourselves was helpful. Kid ended up an armed robber eventually, anyway, but he might have been even worse without the responses.
Of course you have though of an insurance claim, if available. That goes without saying.
Two further ideas:
1. Check not only pawn shops and hobby shops, but also websites like craigslist, ebay, offerup, facebook. Possibly specialized websites, too, like this one.
2. Sad though it is to say, consider who is acquainted with you.
best,
Peter