Answer:
refer to a pulmonologist for polysomnography evaluation
Explanation:
Based on the information provided within the question it can be said that the next step in managing this child's condition is to refer to a pulmonologist for polysomnography evaluation. This is because the child has a high potential for having sleep apnea since the parents are reporting that the child snores and has frequent throat infections and he does not have a high enough number of GABHS throat infections to warrant tonsillectomy.