In reply to betathief:
I would imagine the snow will go very quickly this time of year.
In the meantime, Cinque Torre as previously mentioned is a good shout, as is Crepe de oucera bassi on the Passo Giau for some sport climbing.
Finally Landro, on the road from Cortina to Dobbiaco can stay dry in some of the steeper sectors in the rain if the weather is wet!
Hope this helps