Hi Welcome to the board! Well if seeing the dermatologist did not help I would do other things. I am not going to say what works only what I would try. This is not a promise of a cure:
Some chemicals stay in the body a long time. I would make a charcoal poultice for the outside of the nose with 2 Tablespoons steam activated charcoal, 2 Tablespoons flax seed and enough water to simmer and make a thick sloppy paste. Experience will help in making it. I would simmer this mixture and put it in a paste I would cool it to about 100 degrees to avoid burning myself and then put this paste to within one inch of the border of a paper towel (this keeps it from being quite so likely to come out. I would fold it over and place it on the nose for at least 20 minutes, maybe an hour.
Fresh Aloe vera leaf helps remove potassium I might try placing this on afterward by slicing a leaf and rubbing it on. I would also eat a half cup cilantro every day since this is said to chelate some things out of the body that don't belong there such as lead. I would also use steam activated charcoal powder inside for a few weeks but not long term. The powder can be either taken in capsule form or a teaspoon can be placed in a cup of water stirred well and drunk. Some people put a tablespoon in a quart of water for things like irrigation for infection. Bacteria stick to it and it also adsorbs chemicals they emit.
I would not bother with most creams out there they often contain chemicals of their own. There are a very few which have only herbs and beeswax, which help with itching, and I am not sure it would help with pain much.
I would also note when the irritation occurs and if there are any zits there. Zits sometime occur with too much, fat, sugar, bacteria difficulties or hormone difficulties.
If desired I would like to know how things go.