In reply to Matt Buchanan:
Late June is a tricky time. It can be really good - with snow that is still in good condition, and freezing well at night, as well as clean, dry rock - or it can be a total washout in the high mountains. Even in the Ecrins - known for better weather than Mont Blanc or the big peaks of Switzerland - I have had a poor week during a similar matrimonial exit pass.
The key, I'd say, is flexibility. Be prepared to change objectives at the last moment, and have a plan B - an area which might be fine even if the Alps are wet, such as the Picos de Europa, the Gran Sasso or even Scotland.
That said, usually the Ecrins will be good at this period of the year. Ailefroide and La Berarde are both great valley bases with campsites, accommodation, bars, fantastic granite climbing low down and much more solid mountain rock than the area's reputation might suggest, on peaks such as the the Sialouze and Pic Sans Nom (accessed from Ailefroide) or the Dibona, Tete Rouget, Aiguille de Soreiller and Meije (reached from La Berarde).