Funny that you mention that, we stayed a total of 7 nights 3 in the mountains and 4 in Northern Florida in fully equiped cabins just like you descibed (in state parks). It was a physical challenge packing and driving and unpacking and repacking and driving. Even though the schedule was tight, the serenity and change of environment was overwhelmingly peaceful. It almost forced peacefulness on you. And even though I didn't have enough time to recover any. I got just enough peace and quiet, sunlight and no Cell Phone coverage to realize what the problem with life is.
It's amazing what opening the windows feeling the breeze and listening to the birds and crickets and rain drops can do to a person. Makes all the hassle and research, alarm clocks, meetings, text messages, face book posts, everything seem so, well, unappealling, almost meaningless.
I chose parks somewhat off the beaten path on purpose. It worked out well. No matter where we went, we practically had the whole world to ourselves it seemed.
Of note as well, the behavior of the 3 children with us was noticably better than ever too.
My only regret is having to leave. But now the challenge is to make my normal world like that. Everyone has told me it can't be done, we'll see.