In reply to Ben Watts:
It's a slightly out of the way corner of the Dolomites, but we found the Moiazza area good. There are a couple of good campsites in Forno di Zoldo: the restaurant at l'Insonnia campsite is outstanding, and/or there are huts on & above the Passo Duran.
We did the Decima, which is a really excellent, not too long (about 6 pitches) Grade V, south facing with an easy approach & descent. The Bonetti slightly further left on the same face is supposed to be equally excellent and a little bit harder.
The Constantini Via Ferrata in the same area is also supposed to be really good.
May/June is early season: expect snow on north slopes and in gullies.