Right flank snaps and acute pain wakes me at night

For the past few months I am awakened in the night by a sharp snapping pain.  I mean I go from dead asleep to bolt awake and cannot go back to sleep sometimes for an hour or more.  I have seen a couple doctors, had blood tests, ultrasounds, CT scans with and without contrast, x-rays, seen a chiropractor and a medical massage therapist looking for answers.  They tell me nothing is broken and nothing is out of place and everything appears to be functioning properly.  I'd be thrilled with that if I didn't keep getting woke up by this rubber-band like snapping sensation.  
Basically, I've narrowed it down a bit.  When I awake with the pain I am always sleeping on my right side or my back, usually my back.  The pain goes away on its own and the snapping sensation goes away once I reposition to my stomach or my left side OR when I breathe much more shallow and remain on my back or right side.  Supposedly this sounds like ribs or lungs, right, but they've all looked at those over and over and cannot find anything wrong.  So I am wondering if maybe I have something going on with maybe adrenal glands (I have hashimotos' thyroiditis) twisting around or maybe my gall bladder has stones and is twisting around?  What else could it be?  What else should I consider?