Quote: I'm planning to visit Jackson Hole, Yellowstone and the Black Hills. It's just me alone, and I like peace and quiet.
If you want peace & quiet, you may have to hunt for it in those places!! That said, those are some of our favorite places, and we like to return as often as we can. If you can "dry camp" (i.e. without hookups) you will be more likely to find campsites with more privacy & quiet; otherwise you'll often find yourself in a "parking lot" - albeit with grass, trees or a view. If you will need the hookups, then just grin & bear it, and try to find some quiet spots enroute.
I'd suggest, for (relative) peace & quiet, that you choose state parks, national forests, national parks, or COE (Corps of Engineers) CGs, at least on weekdays. Weekends, be prepared for those to be filled to capacity, sometimes with noisy partiers. This is especially true if the park is near a large city, or a popular tourist area. Be aware that most of these CGs will not have full hookups (i.e. electric, water and sewer) but will have either none or usually either electric or water at the site. Most will, however, have a place you can get water to fill your tank, and will have dump stations.
I also suggest that you get reservations at CGs in all 3 of those places (you can use the same base camp for both Yellowstone & the Tetons - just a bit more driving to do your sightseeing that way). Those are extremely popular, and judging from comments on this forum, are likely to be full most of the tourist season (late June through August). Also be aware of the Sturgis motorcycle rally in the Black Hills in early August; thousands and thousands of bikers in that area during that time, which means full CGs, lots of traffic on the roads, and probably also higher camping fees.
You might want to get a Trailer Life or Woodalls campground directory after you arrive in the States - most camping stores will have them, and even some bookstores (try Barnes & Noble or Borders chains.) And see if you can find some smaller directories too - the COE and national forest CGs I believe have a printed directory. These can help you while on your way out to Wyoming and back.
Depending on whatyou drive/camp in, my advice would vary. In Yellowstone, stay in the park, unless you have a 40'+, then stay Grizzly(West Yellowstone). In Jackson Hole stay at Colter Bay, period. Use that as a base for visiting the town of Jackson(you would not like The Virginian). For the Black Hills, check rvparkreview.com, its a big place.
*** There is only one great human right: to do whatever you want to do. And one great duty that goes with it: to face the consequences without complaining. ***
Hi! Shenandoah National Park in Virginia, has 3 campgrounds that will offer peace and quiet especially mid week. The largest is Big Meadows and that will have more people. Loft Mountain seems to be a little less crowded. There is a nice book that we purchased a few years back, I think it is called "Camping with the Corps of Engineers" and it lists all throughout the country I believe. Since the only time we can travel is right after Christmas, we head south and Florida has very few COE campgrounds. Have a good time.
Linda
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That said, those are some of our favorite places, and we like to return as often as we can. If you can "dry camp" (i.e. without hookups) you will be more likely to find campsites with more privacy & quiet; otherwise you'll often find yourself in a "parking lot" - albeit with grass, trees or a view. If you will need the hookups, then just grin & bear it, and try to find some quiet spots enroute. 
