I generally like to keep humidity levels high for a while after transplanting anything---so your system sounds good.
When I transplant a whole tray-worth of seedlings, I normally pop on a plastic dome for the first week (sometimes two), taking it off every now and then for a day/a few hours if it looks as though moisture levels are too high inside the dome (normally the plants are under lights, so lots of warmth too)....
Anemonopsis is easy, very tough and hardy (it overwintered in Ontario even in the bad-old, very cold times of -40C or more).
Doesn't mind being moved either.
I find placing it in the garden, the hardest part.
In fact, it would be lovely to see pictures of what others have done with "landscaping" their Anemonopsis.....one tends to put it in the front of the bed because of the long wands of delicate flowers---but somehow I am always less than happy with how they look at flowering (or at seed formation). Perhaps I have too many, grown all together in the same spot.