I guess there are two questions, and the answers to both depend on (generally) where you are in VA, and where/how you ride it. Northern VA tends to be MUCH more strict, and the more suburban areas (whether northern or not) are more stringent. That being said, find a shop, or a buddy at a shop that is NOT strict.
1) You are correct, VA does not require turn signals, but if equipped, they must work. That being said, put whatever signals are on it and I seriously doubt you will have any issue getting it to pass. Most inspectors will not know to look, much less know what is required by DOT for turn signals. That, or just yank them off and hand signal. You MUST have a brake light regardless.
2) Antique tag it and never look back, UNLESS you drive it to work everyday and pass by the same officer everyday. It might stand out then, but you aren't going to get pulled simply for riding during the week. They will NOT monitor your mileage usage (since it doesn't have to be inspected) and the law states you are allowed to ride to and from shows/events and for pleasure drives. Also you are allowed to ride to test equipment. Aren't you always testing equipment and going for a pleasure drive?!?!?! Wink, wink.