I'm not recommending it (or recommending against it), but I do know several people who have done medical "tourism" to other countries for major dental work. (Multiple root canal/caps/multiple implant-type work.)
Well, I did go back to the UK to have the teeth pulled in the first place!
Thanks both for your advice. An ENT person would be the way to go. I did go to one a while back, before realising the problem might be teeth, but he didn't find anything.
I wonder if that might have been because I framed the problem as an earache, and the only test he did was an otoscopy.Could be. There are specific quick tests that they can do for TMJ, and other scopes and probes and x-rays for sinus issues, as well as for TMJ. I'd sell it as "the side of my head - could be my ear, could be my jaw, could be my sinuses, could be my teeth, could be a complication from the wisdom tooth removal -- I just don't know, but I have a shooting pain that goes from here to here." The less you narrow it down for them, the more creative they have to be in their diagnostic approach.
In any case, good luck. Jaw/tooth/sinus pain like that is obnoxious.