I am planning an approximately 6-day trip in Germany with some friends(20-30 years old). From what I have read, there are plenty to see, so we will focus only on the southern part, namely the Bayern(Bavaria) and Baden-Wuertemberg regions. We are looking for... well everything: from museums and castles to remarkable sights in nature or Theme Parks(we wouldn't like to see some boring art gallery with paintings only). I have a plan-schema, but I am not sure about anything, so would you please provide some feedback?
First 2 days will be spent in Muenchen. There are a lot of things there, but I don't know what's worth seeing: is the German Museum(Deutsches Museum) better than the Technic Museum in Spayer? Are the Zoological and Botanical Gardens nicer than Wilhelma in Stuttgart? I am asking these in order to improve the trip. What else would you suggest here?
The third day we will focus on castles: Ettal Monastery, Linderhof, Neuschwanstein and Oberammergau. The problem is that we don't know by what means we should get to our objectives, since renting a car seems pretty expensive(from what I have found on internet, but please correct me if I'm wrong), so we will have only the trains and maybe some buses(anything else?). Any suggestions? Is there anything else in that area?
The fourth day, we would like to spend in Rothenburg, Wuerzburg(I don't know exactly what is here, but people seem to recommend it) and maybe Nuermberg(only because it's in the way). I don't know exactly whether we should visit these places(people here Germany, Switzerland, Czech Republic - Suggestions for 3 week vacation recommended it). What do you think about this?
The fifth day should be spent in the Black Forrest(Schwarzwald) also because of some recommendations, but nothing very clearly. Could you please tell me what is worth seeing there?
The last day will be spent at Europa Park. I read it's really cool. Please tell me if I'm wrong or if you have any suggestions.
We would like to see the Herrenchiemsee castle and Kehlsteinhaus(Eagle's Nest), but there is nothing else in that area(from what I currently know). What do you think about them? Is it worth staying another day just to see these two things(or anything else)?
I know this is a long text, but this place seems to provide some really reliable information. Does this sound like a good approach? Any suggestions or opinions are appreciated. No decision has been made, these are only the first ideas.