Since the SEMA-like replicar registration laws is effective on 01 JUL, I thought I'd contact VA DOT and see how to register my car. The response:

Dear Mr. Cox,
Thank you for visiting www.dmvnow.com.
There have been no announcements within DMV regarding the new procedures and/or forms for the new legislation for replicars. You may want to check back with us around the end of the month for more information.
Eighteen working days until the law goes into effect, and they don't have any info yet. Typical.