Looking to stay in Salzburg area in first week of June (hoping to stay in Haus Reichl! It looks quite charming!) We would like to take a day trip to Berchtesgaten, is it 'do-able' in one day? (Konigsee boat ride/cable car/Eagle's nest...of course, we would just play by ear and go when the weather was most promising) Also, what are some other day trips/ 'off the beaten path' things to do in the area? We love the outdoors, and getting out of the city. Thank you!