Hi, I don't have the atypical facial pain, but I do have Trigeminal neuralgia due to multiple Sclerosis and I do unbeatable how difficult it can be to deal with the pain. If in fact it is the TN as the other person stated, there are other options for this as they also stated.

The following information was copied from the Mayo Clinic's website.


Medications

To treat trigeminal neuralgia, your doctor usually will prescribe medications to lessen or block the pain signals sent to your brain.

Anticonvulsants. Doctors usually prescribe carbamazepine (Tegretol, Carbatrol, others) for trigeminal neuralgia, and it's been shown to be effective in treating the condition. Other anticonvulsant drugs that may be used to treat trigeminal neuralgia include oxcarbazepine (Trileptal). Other drugs, including clonazepam (Klonopin) and gabapentin (Neurontin, Gralise, others), also may be used.

If the anticonvulsant you're using begins to lose effectiveness, your doctor may increase the dose or switch to another type. Side effects of anticonvulsants may include dizziness, confusion, drowsiness, double vision and nausea. Also, carbamazepine can trigger a serious drug reaction in some people, mainly those of Asian descent, so genetic testing may be recommended before you start carbamazepine.

Antispasmodic agents. Muscle-relaxing agents such as baclofen (Gablofen, Lioresal) may be used alone or in combination with carbamazepine. Side effects may include confusion, nausea and drowsiness.
Surgery

In trigeminal neuralgia surgery, surgeons' goals are to stop the blood vessel from compressing the trigeminal nerve or to damage the trigeminal nerve to keep it from malfunctioning. Damaging the nerve often causes temporary or permanent facial numbness, and with any of the surgical procedures, the pain can return months or years later.

Surgical options for trigeminal neuralgia include:

Microvascular decompression. This procedure involves relocating or removing blood vessels that are in contact with the trigeminal root.

During microvascular decompression, your doctor makes an incision behind the ear on the side of your pain. Then, through a small hole in your skull, your surgeon moves any arteries that are in contact with the trigeminal nerve away from the nerve, and places a pad between the nerve and the arteries. If a vein is compressing the nerve, your surgeon may remove it. Doctors also may cut part of the trigeminal nerve (neurectomy) during this procedure, if arteries aren't pressing on the nerve.

Microvascular decompression can successfully eliminate or reduce pain most of the time, but pain can recur in some people. Microvascular decompression has some risks, including small chances of decreased hearing, facial weakness, facial numbness, double vision, a stroke or other complications. Most people who have this procedure have no facial numbness afterward.

Gamma Knife radiosurgery. In this procedure, a surgeon directs a focused dose of radiation to the root of your trigeminal nerve. This procedure uses radiation to damage the trigeminal nerve and reduce or eliminate pain. Relief occurs gradually and may take several weeks. Gamma Knife radiosurgery is successful in eliminating pain for the majority of people. If pain recurs, the procedure can be repeated. Because Gamma Knife radiosurgery is effective and safe compared with other surgical options, it is becoming widely used and may be offered instead of other surgical procedures.
Other procedures may be used to treat trigeminal neuralgia, such as a rhizotomy. In a rhizotomy, your surgeon destroys nerve fibers, which causes some facial numbness. Types of rhizotomy include:

Glycerol injection. During this procedure, your doctor inserts a needle through your face and into an opening in the base of your skull. Your doctor guides the needle into the trigeminal cistern, a small sac of spinal fluid that surrounds the trigeminal nerve ganglion — where the trigeminal nerve divides into three branches — and part of its root. Doctors inject a small amount of sterile glycerol, which damages the trigeminal nerve and blocks pain signals. This procedure often relieves pain. However, some people have a later recurrence of pain, and many experience facial numbness or tingling.
Balloon compression. In balloon compression, your doctor inserts a hollow needle through your face and guides it to a part of your trigeminal nerve that goes through the base of your skull. Then, your doctor threads a thin, flexible tube (catheter) with a balloon on the end through the needle. Your doctor inflates the balloon with enough pressure to damage the trigeminal nerve and block pain signals.

Balloon compression successfully controls pain in most people, at least for a period of time. Most people undergoing this procedure experience some facial numbness, and some experience temporary or permanent weakness of the muscles used to chew.

Radiofrequency thermal lesioning. This procedure selectively destroys nerve fibers associated with pain. While you're sedated, your surgeon inserts a hollow needle through your face and guides it to a part of the trigeminal nerve that goes through an opening at the base of your skull.

Once the needle is positioned, your surgeon will wake you from sedation. Your surgeon inserts an electrode through the needle and sends a mild electrical current through the tip of the electrode. You'll be asked to indicate when and where you feel tingling.

When your neurosurgeon locates the part of the nerve involved in your pain, you're returned to sedation. Then the electrode is heated until it damages the nerve fibers, creating an area of injury (lesion). If your pain isn't eliminated, your doctor may create additional lesions. Radiofrequency thermal lesioning usually results in some temporary facial numbness after the procedure

I hope this helps you in finding what works best for you! I would also suggest, if you don't have a good neurologist to find one. Finding just any neurologist probably isn't going to help the situation either! Make sure that you get several opinions about what it is, and what you should do about it, and then when you have the answers, you can be confident that your answer is the right one and the choice of treatment is what's best for you and not just their wallets. Most of the time, there's only one shot at the surgical aspect so make sure you have it right the first time! It's kind of like that old adage that says says to measure twice, cut once! Well, I hope this helps you to find the answers to what you seek!