Step 1: The history of allergic rhinitis with sinus opacification points to allergic fungal sinusitis, the most common form of fungal sinusitis, seen in warm and humid climates.
Step 2: On unenhanced CT it typically shows opacification and expansion of multiple paranasal sinuses with centrally hyperdense (often serpiginous) material surrounded by a peripheral rim of hypodense mucosa.
Step 3: This central hyperdensity with peripheral hypodensity produces the characteristic "double densities" appearance, so option (b) is correct.
Step 4: Ground-glass (fibrous dysplasia), honeycomb (lung/other), and onion-peel (Ewing periosteal reaction) are unrelated radiological signs and are incorrect here.