My favorite vacation spot for the better part of 30 years was Door County, WI-- especially the Whitefish Bay area. I haven't been there in a while, but it was awesome. Watching the moon rise over Cave Point was a highlight of my life. The fishing was the best I ever had.
My wife is from the Big South Fork region on the KY/TN border. If you're looking for a woodsy kind of quiet, this is your ticket. I can think of nothing better than to go down to the old swimming hole at Mine 18 and go round and round in the big eddy. The Overlooks by the Blue Heron campground are awesome. I could go on for hours about BSF.
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I was quite taken by the campground at Anastasia, by St Augustine FL. The beach can get crowded during the touristy parts of the season, but if you go in the off-season you can have a mile or so of it all to yourself.
Another good spot down there is Cedar Springs. It's kind of out of the way. The Springs are great and the river kayaking is under-utilized.
Stowe, Vermont in the summer was great-- the ski lodges are empty, but open.