Many with Chiari have sinus issues as well which would explain the sensation in the nose...Chiari affects all of our functions....breathing, heart rate, digestion...u name it it will be affected ....chiari affects the brain stem and the control center for all we do....so all symptoms directly or indirectly can be from Chiari.
If its weired chiari or whatever i cant tell u...but i do have the same issue and find it quite suitable for a chiari symptom...