It depends on the type of cherry. Tart cherries are resistant to brown rot, you may be able to get away with not spraying them. As child we had tart cherries and never sprayed and got some nice crops.
Sweet cherries are a different matter. Brown rot is a real problem. You may have a few years before the rot shows up but eventually you will need to spray to control it. BlackGold and WhiteGold are good sweet cherry choices for your area and for the Eastern United States. I would take a look at the Eastern cherry thread most of information there will apply to growing cherries in Virginia.
And some more information in this follow up thread: