I never bowled as a ccw'er in va for that reason. If I had I would have used an "administrative" Holster and demurred to any questions concerning my official status.
I would say your best bet is a galco club fed paddleback and a service pistol of some sort. If I were a thief looking to steal handguns in VA, cars outside restaurants and bowling alleys would be my beat.
So I have to say - leave it home well secured or carry openly. Me I would wear it like I said above.