Dolomites

What time of year specifically?

By train, the Val Gardena. Any of the 3 towns (Ortisei, St. Christina and Selava) is a good choice, as they are just a few minutes bus ride from one to the next. Ortisei is the largest, St. Christina the smallest, but in the middle.

Paul

Thanks, Paul...early June

Here's a link to summer 2016 lift dates and times. Use it as a general guide until the new 2017 summer schedule is posted. There are 3 or 4 lifts open mid May every year and early June. Even with just a few open and running, with three nights, you'll have plenty to keep you busy. The Dolomites are so worth seeing in person. Like nothing else you'll see in the alps. Amazing.

http://www.valgardena.it/en/hiking-biking/walking-trekking/lifts/

Paul

Bolzano or Cortina.

Bolzano's nice but is down in the valley; it's not a mountain town. Very pretty, though, and home to the museum housing the Iceman.