We are arriving in Innsbruck on 21st of this month, and will stay there for 4 days. Our final day-wise itinerary includes a lot of mountain top visits (Stubai Glacier etc,). The twist in the tale is that as of now, the weather forecast for that period is of a lot of rainy days. So the question is: What are the day trips that we can make from Innsbruck on such rainy days, since going to mountain peaks on cloudy and rainy days is obviously a waste. We are in the region for the nature, not much into museums etc. Also, don't mind long train/bus journeys as long as both the journey and the destination are scenic, and the journey is not extremely expensive :-)
Thanks in advance.