We will be driving to Fussen from Munich for a day to visit Neuschwanstein in early June. After doing the castle tour at 12:30, we'd like to soak up the alpine scenery by going for a short hike, and/or doing some biking (ideally lakeside), taking a cable car ride ( thinking maybe the Tegelberg), and maybe doing the luge there too. We will be driving back to Munich that evening.
Should we head to the Forgensee area? Alpsee? Garmich-Partenkirchen?
Thanks for your input