My son sees Dr. Firrincieli at Carolina Allergy & Asthma. He's great with my 5 year old and was recommended to me by another mom.
Home They have offices in Cary, Chapel Hill, and Raleigh.
Dr. Kristi Woods at Growing Child Peds is awesome. They have after hours clinics. My son's Asthma always flairs up when the office is closed and I am able to take him to their after hours office when I need. They have 7 (I think) offices in the area, not including the after hours offices. Dr. Hamp is another doctor there that we have good expereiences with. We stick with 1 doctor at the practice because my son has some special needs.
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Good Luck. I know Asthma can be hard to deal with.