Disclaimer: The materials provided below are informational and should not be relied upon as legal advice.
Unfortunately, the vehicle's owner is charged with the towing, storage, etc. charges. Call your insurance agent and review your policy one more time to see if you can find coverage. Also, if you have an automobile club membership, they may assist you with towing your car back. Given the ongoing storage charges, try to pickup your vehicle as soon as you can. You can trying speaking with the towing yard manager and see if they can give you a break on the charges, but that is not very likely. If the police ever identify the perpetrators, you can certainly take the to court for your money damages.