Fortunately, my exercise-induced asthma is very mild, and only shows up when something that I'm allergic to is in-the-air, or when I really push my heart rate into the red zone for more than a minute or so. I don't get airway constriction or other swelling, though. My allergies don't bother my nose as much as they do my eyes and upper respiratory tract (mostly throat and windpipe area, with some in the lungs when mold/pollen counts are really high).
I just cough a few times over about a half-hour following exercise to clear my throat, and it is over. Especially during flu season, I get some apprehensive looks following my commute to work some days. It clears-up within a few minutes, though, with no lasting effects on my throat or lung tissue. Yep, I'm lucky.