Planning for rain is often important for the Dolomites.
So I suggest the NW area (as opposed to Cortina).
some reasons:
* more low-altitude cragging nearby.
* more + better indoor climbing gyms.
* easier escape to famous Arco / Sarche valley climbing (both sport cragging and big walls).
* quicker escape to Austria or SE Germany if dryer weather there.
* quicker access to Milano airport + city.
* quicker access to Munich airport + city.
. . . MUC is actually closer to the Dolomites than MXP).
* closer to some high multi-pitch sport-route areas, like Freia.
* close to lots of famous mountain Trad multi-pitch routes.
* closer to great _valley_ road-cycling (as well as the famous high passes).
Other than higher-elevation climbing, about the only alternative activity that Cortina d'Ampezzo is convenient for is visiting Venice.
Ken
Post edited at 17:30