In reply to FesteringSore:
130 miles and about 3 hours from south end of the lake to Corvara according to AA routeplanner, that is pretty central and you would get a lot of great views on your journey.
Probably only 2 hours drive from the north end of the lake to the Val Gardena area.
Corvara is quite central in the dolomites, it is another hours drive east to Cortina.
Would be a shame to go there and not walk or climb though.