What Causes Skin Peeling On The Nose And Chin Area While Having Dandruff?

I went to a dermatologist for my skin condition.He said it was like dandruff of the skin.He gave a prescription called Slides to apply it 2 times a day. It is not doing really helping.I am sure being in the sun as much as I have did not help my skin.I had beautiful skin up until five years ago.Always received compliments .Now I have a lot going on,large clogged pores,dark spots on the left side that the sun hits while driving . My nose actually peels,and this year my chin does too with the dandruff condition.I can not use any kind of soap,or other products the dermatologist told me about,except occasionaly create.I try taking cooler showers,no soap on my face just water.I remove make up with ponds cream and distilled water on cotton pad. Thank goodness my sister has the same issue with just the nose peeling. Her dermatologist said it s dry skin,stop picking and peeling,and it s an aging thing.Oh and did I mention I live in Arizona? I have the lotion oil of Olay with sunscreen,any other sunscreen I breakout .Help Me!! I know there are things like chemical peels,Microdermabrasion,laser treatments,but I am afraid to try it.