Thanks for all these ideas and thoughts, everyone!
Elizabeth, I want the skirt to serve a variety of purposes.
I would like it for daily wear (perhaps) -- as a cooler alternative to shorts. I won't wear it for hiking up the Great Wall or anything like that, but I would wear it within the city. I don't know our itinerary exactly -- but I imagine I will be spending part of each day in the classroom and part touring the city/ local sites.
I would like to be able to dress it up if necessary. I sincerely doubt there will be any extremely dressy events, but again, they haven't told us much, and I would hate to be caught out without a suitable outfit if there is a banquet or something of that nature.
I won't have time to shop while there, so even though I am sure I could (theoretically) find something, this is moot.
I never bother with dry cleaning. I always wash by hand (or actually machine in the hand wash cycle -- but on the trip it would be literally by hand.) The only things I dry clean are my wool coats and jackets. So the fact that a label says dry clean is meaningless to me.
I'm usually sized out of LLBean but Joe Fresh might be an option. Also, Jackie, I'm very intrigued by the Simons option. They have a grey linen skirt that might work at least for daytime wear in lieu of shorts. It wouldn't dress up all that well, but that's okay...