The symptoms do sound like trigeminal neuralgia, but a formal neurological examination may help in confirming or refuting the diagnosis depending on what they find. Unfortunately, there's no lab test that says you absolutely do or do not have it. The diagnosis is based on the clinical history and exam. An MRI of the brain may also be considered to see if there is an underlying cause for the pain. SOmetimes an artery can push on the nerve, irritating it to cause symptoms of pain and hypersensitivity. Neurosurgery has helped some patients with this type of problem.
Drugs that we have used for this include anti-seizure medications such as tegretol, trileptal, and dilantin just to name a few. Elavil has helped many of my patients, and you could consider combination therapy with one of the other meds mentioned. GOod luck.