Yes, this is possible, but I guess only if you have your own vehicle.
I have done two road trips together with 3 friends through France experiencing all the things listed, except for the vultures.
On both road trips we didn't have a clear goal in mind, and chose a destination from day to day.
The first road trip was around the Vosges mountains, on the second road trip we went south from the Netherlands without a clear city in mind. We ended up in Montpellier.
Both road trips lasted for about 10 days, but I could easily do it for three weeks.
At the end of every day we escaped the main high ways and started driving on the smaller roads in France to find a proper wild camping place. We used the map to look for green areas with a river or a lake next to it. At that time I didn't know but wild camping is mostly legal in France
Almost always did we find a proper place (if not an official camping was our plan B), but it did cost us quite some time.
Some suitable places are fenced off, other places don't have a road nearby.
Sometimes we could park the car next to the road, walk through a thin layer of bushes and trees and find a huge field or a small lake very suitable to camp by and relax.
Because we didn't plan and didn't pay much attention to the map I can not name the places we stayed close to, but I guess, as I tried it from north to south, this is possible through all of France.
TL;DR:
Yes it's possible if you have your own car, stay of the main roads and look for green areas on the map.