I was in Yellowstone two days ago, we came in the west gate on route 16. We dropped down to a view of the lake and eat at the lodge. The folks at the lodge said we could not go south because of the fire. We spent a few hours sightseeing and photographing the wild life then exited north to Livingston.
The sky to the south was smoggy but we were just passing through on our way north.
I would definitely call for an update as things can change rapidly. I also heard that some of the streams were closed for fishing because of a parasite problem.