I have a horse that has COPD and one that has allergies, they both usually has a very bad break out twice a year. For me, if I don't catch the symptoms fast enough, the veterinarian gives me some dex steroid shots. Be careful of this though, it can cause joint damage in the long run. Your best bet, if your horse starts coughing, give him/her cough free. Its natural and its a lot better than steroids in my opinion.
not running down the article, I think its great but just want to point out that RAO is NOT performance limiting. My horse got it from dusty hay and the vet said to ride away and my horse is not limited. He actually hunts all day long and events strongly. He jumped out of his field yesterday!