In reply to adam 24:
Dolomites could also be OK depending on what happens over the next weeks - there is a lot of rain at the moment and consequently it's snowing at altitude. Having said that, if the sun comes out and the rock dries off you could be on anyway. Having said all of that, you could always head to the Sarca valley to start with until it melts a bit higher up, or go to the Val di Mello...