Brian:
Once the corner of my nose very near the exit was very sore. Upon
exploration I found that there was some sort of tube that emptied
there. I could open up the enterence which was glued together and hurt
like he douple hockey sticks, when I did watery stuff which burned a
path where ever it touched leaked out. When I shot some bactroban and
antifungal ointment into the thing it burned in a line leading both to
to my eyes and back behind my ears. I havn't seen much mention of
these tubes,  and don't know that much of the details of the anatomy
but they seem to be part of the intracut plumbing of the head.
It could be such a tube that you feel draining that is causing your
cold nose.