Filter
Well, they make museums of just about anything. From Art or Science, to thimbles. I'm really really not suggesting the thimbles. I don't know who has the attention span for that. But, anything that you think she might be interested in?
Science type museums are usually interactive, though. I went to them a few times as an end of the year field trip.
Hiking would give the two of you plenty of time alone together, and a lot of time to talk.