Physical therapy is your best bet to fix this, shouldn't be just short-term relief. I agree with what KPj said about finding the right therapist.
In the mean time, don't scoff at "short-term" relief--it can make your life better. Stay away from opioid meds for the most part, but there are other meds that are safe and don't have unmanageable side effects. Talk to your provider about such meds as tramadol, low-dose amitriptyline, and non-steroidal anti-inflammatories. Tylenol may not give dramatic relief, but if it helps at all, use it; it's extremely safe in standard doses. Several antidepressants are useful for reducing chronic pain, and have a clear role in dealing with the depression that often accompanies it.
If the traction actually gives you short-term relief, be thankful and use it!
Traditional chiropractic probably won't be the panacea you're hoping for, but some chiropractors are very eclectic, and can help in many ways, exercise, physical modalities, bio-feedback, TENS.
The most important thing (and I don't wish to sound glib here, I know this is really tough) is your attitude. You have to find a way to stay positive despite the pain. The pain is your enemy, and if you let it get you down, you lose. Be nice to people even when you're in pain. Don't let most people see that you're in pain, but don't hide it from the people who matter (providers, close family, etc). Keep up with regular family activities, religion, celebrations. Live a "normal" life, whatever that is for you.
If you are depressed, seek and follow medical intervention for that. It is treatable, even if the pain can't be cured.
Exercise! Whether or not you are doing any exercises specifically for your neck, exercise! At the very least, be doing some brisk aerobic exercise. It has been shown in multiple studies to reduce chronic pain. In addition, do whatever resistance work you can do without exacerbating your neck pain. It is far better to be strong and in pain than to be weak and in pain.
Good sleep is really important. Use some of those "short-term" relief modalities to help with this. Use the traction just before bed, put on a lidocaine patch for night. The low-dose amitriptyline that I mentioned is usually taken at night, because it causes a little sedation, which can help at night, and is not helpful during the day.
If you get to the point that opioids are needed, don't just get a supply from your doc an pop one whenever you hurt. Get them from someone who is familiar with the issues of chronic pain, and use the meds strictly as prescribed. That may be your family doctor, or it may be a pain specialist, but it should be someone who will do more than just keep you supplied. And opioids aren't just the end-stage last resort. They can be useful temporarily.
Have your doctors said that surgery is an option for you? It's a hard choice, because it's not always successful, sometimes makes you worse. But it can also offer a good long-term solution.
Good luck! Keep us informed.
Our greatest fear should not be of failure, but of succeeding at things in life that don't really matter.--Francis Chan