We are travelling in Austria and Switzerland in June, with 6-7 days visitng in and between Innsbruck and Interlaken. We are trying to decide how best to divide up that time. We will have a rental car; we like to hike, but are not climbers. We'd like to spend some time at Lake Lucerne. We also are thinking of stopping in Vaduz, just because we think it will be interesting to be in Lichtenstein. Any suggestions?