In general the criteria are similar to those for fundoplication. Of course it all depends on the surgeon's choice, especially if it's not a textbook case.
Usually what they look for, for surgery, is:
- some improvement by PPI, suggesting that decreasing acid reflux will help you
- relationship between reflux and symptoms (24 hour PH impedance study)
Then there are some things that factor in such as:
- size of hiatal hernia
- Barretts esophagus
- motility/swallowing issues
I think if you look at the papers on the LINX research phase, you will find some exclusion criteria such as Barrett's esophagus and 3cm or larger HH. That is not to say that they have continued these exclusion criteia to the real world application though. They may be able to fix the HH then implant the LINX.
It would help to know the details of your 24 hour PH study. If it includes impedance (which most do nowadays), it can be very telling.
I also have burning tongue though I experience small amounts of regurgitation into my mouth, characteritsed on my 24 hr PH study by excessive "weakly acidic" refluxes and high proportion (63%) of refluxes reaching the proximal (highest) sensor. Burning tongue is usually considered atypical, though it makes perfect sense to me that the tongue would be irritated by reflux. There are plenty of papers out there listing burning tongue as a symptom, but no papers I've found where they have stated surgery will help it (but it should).
I also had a very tight throat, but PPI helped me immensely in that regard. If you have absolutely no help from PPI or other acid blocker, I'd wonder if it's reflux. Or it might be ONLY weakly acidic reflux which is ph<4 and can still irritate the throat/mouth.