I had an awful problem with it for a couple of years. So bad, I lost a couple of hives. I tried all kinds of things, requeening, ventilating, etc. but finally found a post somewhere about raising the temp in the hive. I had been trying to get air flow, but the post said to leave the lid down in the heat and let the temp in the hive get as high as the bees will let it get.
Did it. don't know if that was the cure, but I have not had chalk brood again in years. so...if all else fails....