Final answer:
The most appropriate next step in management for a student presenting with symptoms of allergic rhinitis unresponsive to over-the-counter medications is a nasal corticosteroid, such as nasal beclomethasone, which addresses inflammation and allergic symptoms effectively with fewer systemic side effects.
Step-by-step explanation:
Given the ineffectiveness of over-the-counter decongestants and antihistamines like pseudoephedrine and chlorpheniramine, along with a family history of atopic conditions such as asthma and eczema, the most appropriate next step in management would be C. nasal beclomethasone. Nasal beclomethasone is a corticosteroid that helps to reduce inflammation and allergic symptoms, and because it is administered locally in the nasal passages, it typically has fewer systemic side effects compared to oral steroids. This drug will address inflammation (boggy and edematous turbinates) and other allergic symptoms (nasal congestion, sneezing, and a runny nose).