In reply to Deadeye:
Have looked into this a bit myself as a way to try and reduce my carbon footprint (sadly it's hard to find like-minded folks). Here's some options to consider (haven't put any of them into practice so it's all theoretical):
-Ailefroide: you can get a night train from Paris (gare de Lyon) to L'Argentière-la-Bessée, then in high summer (July-August) a bus will take you all the way to the village/campground of Ailefroide. From there you'll have access to dozens of multipitch routes and mountain routes (plus sport climbing and bouldering). The bus even goes to the end of the road (Pré de Madame Carle) which is the starting point for some classic routes. Gear and food available in the village.
-Chamonix: will probably try that next year. It's a six-hour journey from Paris with two changeovers, then I reckon once you're in Chamonix you don't need a car with all the lifts and buses.
-Pralognan-la-Vanoise: train from Paris to Moutiers then bus to Pralognan. Food and possibly gear available in the village, couple of campgrounds.
-Presles: 2h30 journey from Paris to Valence, then if you stay at least a week at Bernard Gravier's place (Entre ciel et pierres) he'll come and pick you up. From his place it's a short walk to the rappels of many routes (+ a couple of sport climbing areas).
-Annot: I know you said you prefer mountains but the crack climbing at Annot is brilliant. It's a six-hour direct train from Paris to Nice, and then a 1h30 train ride (on the Train des Pignes) to Annot station, which is where you'd park to get to the climbing. Campground is 2km from the center of town/crags but you can find lodging closer to it.
-Riglos: haven't really looked into it but looks like there's a train station so could be an option