Williamsburg is even farther than Pungo. Your only choice in Norfolk is Bob's gunshop and indoor range downtown in the bowels of Norfolk. It's a decent range, but pretty limited in scope if you're going to try a rifle. I think they only alow things smaller than .30 carbine in power.
Lynnhaven indoor range has a better facitlity than Bob's and is 25Meter, so you can at least zero your AR. They allow almost any rifle in there as well. It's right off of I-264, across the street from Lynnhaven Shopping Mall. Pretty easy to get to from Norfolk. Other than that, you're pretty much going to have to go to the boonies to shoot 200yds. The first time I drove out to the outdoor range in Pungo it seemed like a lifetime. The second time seemed far shorter. Once I knew where it was, it seemed to not be so long in arriving. The problem with living in the middle of a large city (like Norfolk) which is surrounded by other large cities (like Portsmouth, Chesapeke, Virginia Beach) is that there isn't any open land that is available for a rifle range. To shoot at longer ranges, your going to have to do some travelling.
Ross