If you took Disney out of it you'd have a lot more to spend. I don't do the camping thing myself but I totally understand the camping gas thing. Our kids love the picnics as do we. Great fun and experience and memories and cheap too ! I've got better at it too. We leave with a picnic for two days and buy the baggettes where we stop overnight. Or buy a cooked chicken. Now I wash the lettuce in advance, one time for a reason I'll never understand my husband was washing the lettuce in the men's loos but it was hot water only, now how strange is that when France only has cold running water !!
I've a better place for you than Disney though, Efteling in the Netherlands. Magical. And close to Eindhoven airport.
You'll get the heat in the South, plus you're close to a beach too. As in easy driving distance. I bring the Barry's too wherever I go. I even bring real milk in the cooler so I can have a proper cup in the morning of the first days before I can buy it. I can survive without food but not without my cup of Barrys of a morning.
I do not recall the place being rammed with English/Irish. But it's a couple of years since we went. I would go back. We got a train to Monaco at some stage. But we always holiday in France. This year it's Chamonix near Mont Blanc. An absolutely amazing place and we have great accommodation for that one. Surprisingly hot too. But you do have your heavy rain days. Been to Cannes a few times too. It's a must to park the car underground because of the heat.