Nothing, shop around. The only problem that you have is travel. You may not wanna try CA if you live in NY cause like you've already found out, it is going to take multiple visits. Just go in and see what they say at all the stations around you.

However, the boss-lady brings up a good point. The idea of this is to get you a job. If there are no jobs out there that you will qualify for after you do the training why should they waste the money?

Also, if you give up on the type rating as an option, don't give up on the money. There is plenty of money out there to re-train you for another job or back up incase you lose your medical. Open up your options.