The AirBNB procedure is that you try to resolve the theft directly with the Guest, and then if that doesn't work, submit a claim through the AirBNB Resolution Center. In your case, you may want to contact AirBNB directly and talk with one of the very kind people on the phone. I've always had a kind and sympathetic ear, on those few occasions that I've had to call directly. Tell them the scenario and ask their advice. I personally like to get advice from more than one person and then come up with the solution that makes the most sense. Lastly, you may consider adding to your listing that upon arrival Guests will be requested to provide photo identification. So they know in advance they will have to provide i.d. to you, and you won't have an uncomfortable argument should you ask. I'm not aware that AirBNB would not allow this. After all, it is your home. Good luck! Lois