You're lucky, finding 500yds is tough enough!
It's almost unfair. Here in Ca. we have a lot of BS regulations....... but we DO have the Mojave desert to shoot in.
We got spots out to 100,000 yards. The trick is finding something that can shoot that far without re-enlisting!!!
Jessie, for Va hunting and similar, its' not going to be an issue. Most of your hunting is woodlands, and just about anything is going to fly plenty straight enough for you.
As to ammo: The best accuracy from standard ammo I have gotten has been Winchester XPII. For premium ammo, it has consistently been Federal Nosler Ballistic tips. And, for plinking, everything works just fine. In fact, you will be surprised at just how close most ammo is, though the cheaper stuff lacks consistency. I get 1.5moa at 100yds from Winchester XP with a 6x scope. With my 06, and the same ammo, I see .9moa. Federal ballistic tips give me from.65 to .9, which depends much more on me than the rifle- (the 06). The 308 is not up to par with delivering consistent 1moa, because I am not running enough optic. And, with WPA/ Wolf 147 gr. the rifle gives up 2-2.5moa consistently.
Not bad for 40 cents a shot!