Was having a look at the Giro route this year and this is what I found:
Stage 13 (Mountain TT):
Stage 15 (the next day is the rest day and wouldn't you want it):
Stage 17 and meet the Selle Monte Zoncolan, it makes the Alpe d'Huez or anyother climb in the Tour look like nothing. This is brutal, expect a few guys to go 'stuff this and pull out':
They went over it in the 2003 Giro, but on the 'easier' East Side where it averaged 6-8% and the last three k's it was at 13%.
You would want a mountain bike for the Zoncolan