If your kids haven't been to DC, that would be my best suggestion. Cherry Hill RV park claims to be the closest to DC. Public transportation will take you from the entrance right into the heart of the Washington, DC Mall. We did a two day Gray Line tour, then went back on our own for two more. Great way to see a little of a lot.
Since you only have a week, I would add Great Smoky Mtn National Park and Colonial Williamsburg to the short list.
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