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Tegretol (varied versions of the anti seizure medication) are the gold standard for medicine. Gabapentin, klonopin, lamictal, lyrica, baclofen are all medications sometimes indicated for this condition.
Generally opiate pain medications are not viewed as useful for nerve pain. However, there is increasing research showing that Gabapentin with opiate pain medication offer relief. It's fairly non responsive to over the counter medication.
Since many can't eat solid food turmeric, ginger, cucumber, cinnamon are all anti inflammatorys that lesson the pain slightly when added to daily smoothie. Magnesium (without calcium) is a natural muscle relaxant which may work for some.
Botox injections and lidocaine injections are usually offered by pain management clinics. Ketamine implants also are a treatment currently used.
Gamma knife surgery (radiation directly aimed at the nerve) is the next step if the rest hasn't provided relief. The last step is usually MVD surgery (micro-vascular decompression) of the Trigiminial Nerve.
Unfortunately these are not bullet proof treatments and do have to be repeated for some. It is also not easy to find a surgeon willing to perform MVD so thinking outside the box can help.
The facial pain clinic in Oregon is currently working on a CBD oil this disease. Currently I have no opinion on the efficiency of this.