I'm sorry you couldn't find a vet to help. that is so sad. Our medical establishment has just about gone to pot which includes Veterinary. 
I wish I knew why she can't swallow unless she has eaten a toxin and her swallow reflex is paralyzed. Is she drinking at all? If she is suffering do you have any friends that would humanely put her down?
I have in my bookmarks on BYC how to humanely put down a bird if your interested.

I wish I knew why she can't swallow unless she has eaten a toxin and her swallow reflex is paralyzed. Is she drinking at all? If she is suffering do you have any friends that would humanely put her down?
I have in my bookmarks on BYC how to humanely put down a bird if your interested.