DS has mild Eczema on his face and torso, which has been playing up since the start of winter ( heating zapping all of the moisture from the air).
We've had him in swimming lessons for 6 weeks now, and I have been applying cream once he has been dried off (usually moogoo). It seems to have kept it to a minimum but not prevented it. The last 2 weeks I have put on some alpha kerri lotion and it's slightly better.
Not sure if that helps though, as DS doesn't sound anywhere near as bad as your DD.
Could you ask a pharmacist??