Have you been truly Dx with this?
If you have been on methadone and percocet already and just quit my next question would be have you been seen by a pain specialist and neurologist now or in the past regarding pain control?
http://www.tna-support.org/
"TN (Trigeminal Neuralgia / tic douloureux) is a disorder of the fifth cranial (trigeminal) nerve that causes episodes of intense, stabbing, electric shock-like pain in the areas of the face where the branches of the nerve are distributed - lips, eyes, nose, scalp, forehead, upper jaw, and lower jaw. By many, it's called the "suicide disease". A less common form of the disorder called "Atypical Trigeminal Neuralgia" may cause less intense, constant, dull burning or aching pain, sometimes with occasional electric shock-like stabs. Both forms of the disorder most often affect one side of the face, but some patients experience pain at different times on both sides. Onset of symptoms occurs most often after age 50, but cases are known in children and even infants. Something as simple and routine as brushing the teeth, putting on makeup or even a slight breeze can trigger an attack, resulting in sheer agony for the individual. Trigeminal neuralgia (TN) is not fatal, but it is universally considered to be the most painful affliction known to medical practice. Initial treatment of TN is usually by means of anti-convulsant drugs, such as Tegretol or Neurontin. Some anti-depressant drugs also have significant pain relieving effects. Should medication be ineffective or if it produces undesirable side effects, neurosurgical procedures are available to relieve pressure on the nerve or to reduce nerve sensitivity. Some patients report having reduced or relieved pain by means of alternative medical therapies such as acupuncture, chiropractic adjustment, self-hypnosis or meditation".
Service in the military requires a fairly rigorous health screening to include past medical hx. Service in SF requires a Chapter 2 physical (QP please correct me if I am mistaken). A condition such as this would probably preclude one from military service but only cofirmation by the MEPS MDs could verify this-