Flying and Nasal Passages

OK... You guys are all going to think I'm trolling now, but...

Generally, when flying, my nasal passages get unusually dry and I blow some
things out of my nose that are really big, bold, and not very beautiful...
It's fairly uncomfortable, and it happens both on airlines and in
unpressurized GA planes (Cessna 172). It usually starts within an hour of
takeoff (but sometimes later, sometimes even after I am on the ground), and
lasts up to 24 hours...

Anyone else out there have this problem? Any thoughts as to how to
alleviate it?