In reply to Giles Davis:
My experience over the years on 2/3 wanders along the balcon from the Col de Montets during June is that you may get odd low-gradient remnant snow patches, especially around the Lac Blanc itself, but nothing that would require an axe let alone crampons. And that webcam view looks pretty reassuring.
Another very pleasant walk, from Vallorcine, is up the Berard glen to the Refuge de la Pierre a Berard. Superb river and forest scenery with rocky peaks above. Can't compete with the fantastic open mountain views of the Lac Blanc, but is a nice contract/complement to that walk, and worth doing if there's murk on the high tops.