My exercise induced asthma primarily manifests itself as that dry cough after working out. Only if I push myself way over the limit do I actually get to the point of whooping/wheezing.

I recently found an herbal tea that helps, Breathe Deep by Yogi Tea. The ingredients are:
licorice root, basil leaf, eucalyptus leaf, ginger root, cinnamon bark, thyme leaf, elecampane root, peppermint leaf, cardamom seed, mullein leaf

I believe the primary herbs are the eucalyptus, elecampane, and mullein, but all of them combine to be soothing and mucus clearing.