Thanks for the question. What you are describing certainly sounds like allergies. Bronchitis as well can be allergic in nature, or infectious, but probably allergic the way you describe it here. A Z-Pack, or azithromycin, is actually usually over-prescribed, as it does not help will allergic cough, only infectious cough. Treatment of allergies is really best done with antihistamines, such as loratadine or diphenhydramine, both of which are over-the-counter. If cough persists, you may benefit from treatment of asthma, such as an albuterol inhaler. A cortisone shot for allergic cough would only be helpful in rare or emergent circumstances. I would recommend trying these over-the-counter remedies, or returning to your primary care doctor for further discussion. I hope this helps. Dr. Sheppe