I don't know what the problem is but I
wish I did because I have similar things
going on. I have a chronic sinus
condition and recently had an abscess in
the sinus cavity. It was treated with
heavy antibiotics but I was told it would
probably come back because my sinuses do
not drain properly and, like you, I never
have any nasal congestion because, quite
simply, sinus fluids do not make it down
my nose! Everything just sits there in a
pool, fermenting into abscesses!

I have had the
cameras up the nose and down the throat
but they do not show sinus problems - you
need an x-ray for that, which was how the
abscess was picked up.
I am awaiting assessment for an operation
now to sort out my sinus condition but I
have not heard great reports of success.
Ask for an x-ray and/or a scan to see what
is happening. Incidentally, it is
unlikely to be a tumour as that is pretty
rare.