Since nothing happened by the end of July, and phone calls accomplished nothing, I sent an email to Governor Kaine. Their response:
Because your vehicle is a replica without a VIN, the DMV must manufacture a VIN plate and have one of its investigators come to the vehicle location for inspection of construction receipts and installation of the VIN plate. These investigators also handle criminal cases, which in most cases have a higher priority. It is possible that it may take as many as six to eight weeks before an investigator can inspect your vehicle. The paperwork and VIN plate for yur vehicle have been sent to an investigator in your area, along with a request to perform the inspection and installation as soon as possible.
Translation "We'll get to it when we feel like it." However, the letter to the Governator did get the paperwork out of DMV, and got me a personal call from a DMV rep.

We'll see . . . Film at 11