I grew up in a family owned towing business. You need to take the time and address this now. If you were to show up at our business a month later and say we damaged your car we would basicly laugh at you. If the car was parked in a parking garage I seriously doubt you woud want them to use a flatbed. If the car was towed in the proper direction you should have no machical damage.
My point was, if you don't have any damage to your vehicle, what would the police and/or attorney be able to do for you?