Hi,
I can truly relate to your troubles.

I had a lot of dental work done before realizing that it was a TN problem. Many rounds of antibiotics, etc.
To quickly summarize, my pain is on the right side, I had both the top and bottom 2nd molar removed and went as far as getting root canals on both 1st molars...
every time the dentist told me there was no infection present.... ugh, so why am i pulling these teeth?!?

The pain in the root canaled teeth was just as you described and didn't cease after the procedures and prednisone and loads of antibios.
I realized it was something else when I took a valium and literally all the pain went away. It's a clear sign that it's a nerve issue. Pain meds did nothing in comparison.

So I guess my warning is to not go too far into dental work before consulting with your neurologist. Most dentists wont make the connection, like Bryanna on here says, they're just tooth carpenters, and love to drill and cap and all that good stuff.