My wife and I visited Ortisei in Val Gardena a couple summers ago. We loved the easy access to great hikes in the mountains. We also enjoyed being able to hike up a peak in the Alpe Di Suisi.
We would like to find a similar area to Val Gardena in the German/Austrian Alps. Right now we are leaning towards staying 4 nights in Innsbruck, Garmish, or Mittenwald (all near the Zugspitze) in Austrian Tirol. These cities are easy to get to and seem to be well outfitted for exploring the nearby mountains. I'm interested in your recommendation of other towns that would fit our interests. I'm somewhat interested in the Salzburg area, but don't know which towns near there are surrounded by large mountains (Salzburg seemed more like it was in the foothills rather than the mountains when I last visited).