Thats why you file a police report, then you will get her address. Tell the police you intend to file charges in small claims court. There must be some sort of dent in her car, and they can and should inspect that.
I believe you are correct that the DMV wont give you the address, but the police will, but only IF you file a report against her.
If this is a costly mailbox as you seem to claim, them take her to small claims court. But it costs about $75 to file the claim these days. Once you file the police report, there is a good chance she or her insurance company will want to settle quickly and save you the hassle of court. Even if you got a couple hundred $$$ here, it's not a major expense and if she is guilty and the police see the dent in her car matches your m.b. post, you pretty much won the case already. If she loses in court, she will also have to pay the court costs which may be half or more of the total damages.
Get to the police station and file the report NOW.