In reply to Rog Wilko:
Dunno how they rate on the flowers front, but there's some nice stuff doable with lifts / trains in the Oberammergau / Garmisch area of Bavaria by train*. How many days walking are you looking for?
*train/fly to Munich, then train down to Garmisch or change in Murnau for the branch line to Bad Kohlgrub / Unter/Oberammergau. No need for a car. You can continue on the train westwards to Reutte or south to Innsbruck from Garmisch, but I've not done stuff down there.