No FFS here but I would go with a skilled surgeon over one who is close.
As for VFS and trachea shave, if you are going to Dr Haben and having CTA then wait on the trachea shave. If you are only going to have VFS, then you can do it anytime. With CTA, the surgery would have to be repeated because CTA would cause more of a projection that would have to be shaved again.