Definitely get in some hiking. My personal favorites in the Park are Old Rag, Mary’s Rock, Stony Man and Hawksbill Mt. (
http://blog.virginia.org/2016/06/must-do-hikes/). If you do Old Rag on any nice weekend, it WILL be crowded. Blackrock Summit is nice in the southern end.
For camping in the park -
https://www.nps.gov/shen/planyourvisit/campgrounds.htm
We have stayed at these 3 RV parks nearby the park more than once:
Shenandoah River SP has water and electric with a dump station very nice
http://www.dcr.virginia.gov/state-pa...al_information
Yogi Bear’s Jellystone at Luray, great for kids
Luray KOA
Luray Caverns is a great place to spend a rainy day, very nice auto museum there as well.
It staying in Luray and want a nice hike closeby, then check out Kennedy Peak in GW NF!
http://www.hikingupward.com/gwnf/kennedypeak/
Of course there is a lot of Civil War stuff to see and do around here as well.