I have a sore nose too!, but it's the blocked nostrils and sinuses that are my main worry, I wake up in the night totally blocked up and feel as if I'm suffocating. I have tried Sterimar which works for a while, but have had to resort to nasal sprays which apparently makes things worse over time. One would thnk that there would be an answer out there somewhere.
A chemist did recommend sudo cream but on the label it says don't put inside nose !