Aren't you all helpful! In the end it wasn't as bad as I had feared - after sprinkling baking soda, waiting until it dried, and vacuuming it up, there is no smell whatsoever. I did it twice though, just to make sure. The whole thing didn't even take a full 24 hours. All's well that ends well.
Vomit certainly strikes a chord with people, I'll say that...a surprising number of comments and emails came my way after the last post.
As to the children, they appear to be nearly fully recovered, and are dealing with the uncertainty of life after the stomach flu. My little daughter said yesterday, "Hm. These days I have to be careful with my burps."
Then her older sister added "Yeah, the toots too. Watch out for those."
And I - I can't wait for summer.