Trauma caused from intubation wouldn't be a torn trachea or an air sac tear. The most common complication from intubation is tracheal irritation which is usually self limiting, less common is trauma to the trachea, causing swelling that partially obstructs the airway. That's typically something that can take 7-10 days to show up after the incident and isn't common.
She can rest reasonably comfortably and move around and preen, so that is less worrying as long as she's still eating, drinking, and has normal poops. Try to keep her from flapping and running around for now if that's what causes her to begin to breathe heavily like that, her respiratory character after flapping are the most concerning because of the open mouth breathing. The sneezing when she moves around seems more like an upper respiratory/nose issue which could be from irritated from meds getting up into the choana (the slit in the roof of her mouth) or just debris.
At this point if you feel you're running into a wall with this veterinarian a second opinion sounds like it would be good for your peace of mind. The University of Florida is an option for a larger specialty practice, and the AAV.org site can help you find another avian veterinarian. You may need to drive a distance to see a more experienced specialist, sometimes several hours. They will be able to review the records and imaging your veterinarian sends and do a physical exam to assess if the treatment plan needs changed. This process is frustrating and scary but take a deep breath as you look for other potential docs in the area. Until then keep giving the medications prescribed and doing the nebulization for your gal