So are you saying this antidepressant doesn't disqualify you? If not, you might want to give it a try. Doctors always weigh the benefits vs. the side effects before giving you a medicine. This type of A/D, which is one of the older one's has more unappealing side effects, but since it's older doctors have found more things they could do with it (i.e. Trazadone is a old A/D, but now primarily used for a sleeping med). I have taken Amitriptyline and recently something in the same family, but had serious side effects, so it only lasted a week. But, not everyone is sensitive to meds like I am.
Now, there a medicine that works WONDERS for migraines, but I don't know if it will disqualify you or not. It's called Topamax and it's technically classified as an anti-seizuire medicine, but it has so many other benefits. Their website actually boasts that it's for migraines. There are side effects like all meds, but I haven't run into anything terrible and I'm on a pretty high dose. My biggest complaint was that it changed my taste buds, especially with carbonated beverages. I guess that was okay, because I'm a diet coke freak. One great side effect is that is helped me control my appetite.
Look up Topamax, look up if it's okay to take while driving (I drive all the time on it, not well - ha ha), and then talk to your doctor about it.
If you have any other questions about it or even the Amitriptyline, you can PM me if you want