I had/have the same problem. There are probably different causes and different solutions, but I definitely feel like I got lumped into the same diagnostic box with runny-nose people, resulting in treatments which were further drying. I had sinus surgery almost two years ago, and although it "removed" blockage/physical congestion, it did not make me feel better at all. The feeling of dryness and inflammation has increased.
Your doc will probably recommend one of the nasal sprays like Rhinocort, Nasacort, Nasonex, Atrovent, or Astelin.
Are your lymph nodes in your neck also swollen?