If the child is coughing that much at daycare then she also needs to be using her inhaler more often too which can be used more often when they have a cold/coughing.
The other scenerio since there is so much going around is to just let everyone get sick and get it over with instead of it dragging on and on. But yes that usually means we get sick too. I had a couple days last week I should have closed but managed through mostly because no one felt like doing much anyways and the two babies had long am and pm naps meaning I had less kids to keep an eye on.