Sometimes when a doctor gives up on you, it's a good thing.  It means your case is more complicated than they are capable of handling, and instead of giving you substandard care or guessing, they are referring you to someone who can actually help you.

I was seeing a neuro for about a year, until at one appointment he (literally) threw his hands up and said "I don't know what to do for you.  I think you need to go to Jefferson Headache Center".  You know what?  That was the best thing that ever happened to me.  I now have a true Migraine Specialist who is helping me a lot more than any of the other neuros I've seen over the years.

It sounds like you need someone top notch who can not only correctly diagnose you (FYI, "complicated migraines" is NOT a diagnosis), but who also is willing to go outside the box on treatment, and can handle multiple conditions.  Cleveland Clinic is as good a place to start as any.  If that doesn't work out, we have a list here of patient recommended Migraine Specialists.  Many of us have been through quite a few doctors before we find the right one for us.

Good luck