Sooo... I took your recommendations - Thank you everyone! Really! I eliminated some places because there is no time to cover everything. I have the following itinerary. Please let me know what you think and if you think I made some mistake or eliminated the wrong place.
July 29th
Amsterdam -> Aachen (drive: 2.5 hours, spend a full day in Aachen)
Aachen -> Rothenburg (drive: 4.5 hours)
July 29- Aug 1
Spend 3 nights in Rothenburg
Würzburg
Aug 1
Rothenburg - > Ulm (drive: 1.5 hours, 5 hours in Ulm)
Ulm -> Munich (drive: 1.5 hours)
Munich (Aug 1 - Aug 11 - 10 nights)
Aug 11
Munich -> Füssen (drive: 1.5 hours, spend: 4 hours in Neuschwanstein Castle, Spend: 4 hours in Füssen)
Spend the night in Füssen
Aug 12
Füssen -> Alatsee (spend: 5 hours in Alatsee)
Alatsee -> Lake Constance (Drive: 1 hour)
Lake Constance (Aug 12 - Aug 14 - 3 nights)
Visit: (Lindau, Reichenau, Mainau, Meersburg, Unteruhldingen)
Aug 14th
Lake Constance -> Hohenzollern Castle (drive: 1.5 hour, spend: 4 hours at castle)
Hohenzollern Castle -> Strasbourg (drive: 2 hours)
Day trips from Munich:
Dachau
Berchtesgaden
Salzburg, Austria
Hallstatt, Austria
Innsbruck, Austria
Kloster Andechs
Nuremberg
Augsburg