I remember every camping site in detail that I have ever stayed at. And I started motorcycle camping in 1971. I can't say that about the motels and hotels I have used over the years. Don't be in a hurry. 650s weren't made to hurry. And enjoy the ride.
There are plenty of campsites on the east coast. I would expect to pay between $15 and $25 a night. If you come up through the mountains of Ga, Tn, NC, and Va, there are motorcycle only campgrounds. I am sure they exist everywhere. Just search. Do this. I wanted to do this when I got out of the military way back when, but marriage got in the way. In am planning on doing this within the next 12 months. I am 61 and now it's on my bucket list.......don't wait that long.