What could cause stopped up sinuses and clogged ears with no mucus?

Sinus/ear congestion. Congestion of the sinuses and ears is due to inflammation of the respiratory lining in the nose and around the eustachian tube. The inflammation can be due to allergy, viral or bacterial infection or irritation from smoke, fumes or dust. Start with saline rinses and allergy control if allergies are an issue. See your primary doctor or ear nose and throat specialist for specific care.
A cold or allergy. Sometimes there is congestion with no obvious mucus flying can sometimes cause this as well. See an ENT if persists.