I am thinking that most mornings we were off doing things by 8 or 9, and perhaps one 7:30 day. The first day in H'burg might be a later start day though and the first morn in Rothenburg, there were two groups that went to the Pretzel bakery, so if you were in the second group, you had a more leisurely morning (perhaps the leaders would work with you to insure that happens!) I'm the opposite of you though - definitely a morning person, so it wouldn't have been an issue for me.
As for laptops, yes, I brought mine. Was able to use it in Heidleburg, Rothenburg, and in Munich, but not in Trendleburg. The hotels had a internet usage package you could purchase with a credit card on-line. I don't recall how much, but maybe around 8 Euros for 30 min or so? Enough to check/send email. However, at the Kempinski in Munich, they charged didn't have wireless, so I got a cable from room service. Thinking that meant that I had free internet access (it is a 5 star hotel afterall), I was on-line for hours and ended up with a $75 internet bill. I was FURIOUS. There was no pop up message or anything, just something buried in the hotel info notebook. It was the only negative thing that happened on the trip - but now you're forewarned! Needless to say, for that and other reasons, I didn't care for the Kempinski, but am sure that there are many people who like it.
Hope this helps!
Marcy