I personally understand your desire to tilt your nose to the side a little. No matter how perfectly aligned your spine and pelvis are, there is a good chance that the bones themselves are not perfectly straight, since all human skeletons have some slight variations due to growth and development. All the PT in the world might not get you comfortable on your bike without the bike accomodating your body somehow.
That said, I'm not really sure what you should do - I might ask my LBS owner if he has any ideas when I see him for a ride tomorrow.
“Hope is the thing with feathers, that perches in the soul, and sings the tune without words, and never stops at all.”
- Emily Dickinson