Slightly further than you were hoping for (about 5 hours) but what about Camping Les Grebes du Lac de Marcenay? Or, on a lake, about 4 hours from the ports, is Lac D'Orient. Not a wild or cool campsite and def not a campfire type place (but BBQs not a problem and we used our Cobb) but on a lovely lake which seeems like the med in the right weather. We were there at the end of last Aug when everyone else had gone home and it was brilliant. Best shower blocks of any campsite I've been to.