Yes,allergic cough can be exacerbated by change in seasons and change in geographical areas.Coastal areas have a lot of moisture and hence growth of moulds,which can exacerbate coughing.
Next Steps
During the said season,you should consider prolonged use of
Monteleukast or Bilastin to prevent recurrence of allergic symptoms.
With intermittent use of bronchodilators.
( as prescribed by your local physician)