Hi,
You're posting in the section so am assuming you've been diagnosed with ashtma? What you describe is exactly what I get...always after a cold, I get a persistant tickly cough, and thus, the asthma. For me, that cough along with the sinus issues (which is no longer a cold, just mucus flowing) will not go away unless I take my advair puffer (and nasonex for my sinuses, but have to be careful as the nasonex itself can cause the tickle). If you haven't been diagnosed, I'd get it checked out and see if you need the advair or something similar. Good luck.