I have these nasal drips too, but it is when I start eating. Pretty annoying.
I noticed that my nose clear up when I have a bowel movement. I'm not kidding. I asked my acupunturist who said me that there is a meridian passing through the nose closely related to the intestines, and that make sense to him. I had chronic "sinusitis" (my nose was all the time stuffy) for years, it disappeard when I cut down carbs. Closely related with flora imbalance imo.