In reply to Nemo9:
Looking out of the hotel room window here in Chamonix just now and it is chucking it down. Local forecast was for snow above 3000m. Apart from yesterday, there has been rain every day this week. Speaking to a couple of people here, it has been the same for a while, so expect plenty of fresh snow higher up. Snowshoes mig be handy if you have them.
There is still snow on the Aiguilles Rouges from about 2300m and up. Some of this is old snow and will need a bit of care to cross.
The Chamoniarde website reported a good track up to Mont Blanc. This hasn't been updated since 9 June, but is worth checking for updates. Some of the higher paths are apparently Unsafe according to this site.
Hope you have a good trip.