I'm with cerbomark, offer to let them pay or let the police deal with them. I can't believe you are not interested in pressing charges. The reason people do this is because they can get away with it. I would find out who she is, give her the estimate for the damage plus $5 for a sandwich and 48 hours to pay, etc. just like cerbomark. Take a pic of her paint on your car or leave it be until this is settled. To hell with letting her get away with it and letting your own insurance company pay for it. There is no question as to whether or not they can locate the driver - they have the plate! Follow it through...sheesh!!
1982 Mercedes-Benz 300CD
1982 Mercedes-Benz 240D - stick