A dentist may have something more to say (there are dentists that specialize in TMD and head pain as well) but you may want to try another ENT or a neurologist that treats trigeminal neuralgia.
There is a lot of weird anatomy going on with the neck/throat. If it's something that can be reproduced when channeling air through your nose (closing your palate) then I think we have the same thing going on as far as the noise. I get a crinkling sound in my ears when I yawn and move my palate around and stuff.
I used to do a lot of singing so I'm used to weird stuff going on with the throat, and I think a lot of people do get these random noises, but it could just be indicative of some sort of neck/throat musculoskeletal issue - in this sense the crinkling is merely a symptom of musculoskeletal dysfunction that could be causing issues with the cranial nerves.
Pain with wind blowing against the face is supposedly one of the classic trigeminal neuralgia complaints so there could be something weird going on at your craniocervical junction. This is supposed to be more of a neurologist thing so hopefully you can find a good one. There are different theories on the cause of trigeminal neuralgia, and some of that seems to overlap with chiari malformation which you should also Wikipedia, but the surgeries seem to focus on opening up that junction.
For what it's worth, a neck MRI a few years ago showed I had weird angulation at the craniocervical junction. Have had various neck and head problems for a few years now.
My neck/head theory remains steadfast
