Final answer:
Based on the provided passage, the story takes place in the spring season, as indicated by the melting snow in April and the description of a Northern spring.
Step-by-step explanation:
The passage provided indicates that the story takes place during the spring season. Mention of snow melting away quickly in April suggests that winter has just ended, leading into spring. Additionally, the description of a 'Northern spring' that is somewhat dismal contrasts the 'gorgeous' fall, placing the timing of the story shortly after winter has passed. Furthermore, the excitement about golf that the character Dexter feels aligns with activities typically resumed in the spring as the weather becomes milder. Hence, based on the contextual clues from the passage, one can infer that the season in which the story is set is spring.