We have ruled out asthma, but I still have a breathing issue

A while ago I posted here on a different board, saying I thought a receeding jaw might be the cause of my ongoing difficulty breathing symptoms. The matter remains the same; when I relax in a recliner, hot shower or to sleep, I find my airways close over very quickly, whether I am awake or asleep. A home sleep study showed nothing. I don't snore, but I do sometimes gasp in my sleep. The doctors are trying to tell me my blocking airways are normal/stress related, but I promise they are neither.

http://s4.postimg.org/5wkw58rsd/image.jpg

This is the Ceph I had not too long ago. I was not symptomatic at the time and I was biting a mouthpiece with my head forwards. I think I need a new opinion on the matter as to what might be happening to me. We have just ruled out asthma and anxiety, via the appropriate tests and medications, but not LPR reflux, or posture problems. Does this Ceph give any major hints as to why my airways would obstruct under such specific circumstances?