Hi Emma,
I don't know how old you are but I am almost certain that you have to be a minimum age of 45 years old to apply to the Amiri Flight. I remember seeing an advert in Flight International magazine and that was one of the requirements. I also have a friend that works there and he told me the same.
If I were you I would take EK on the B777. For many reasons which I won't go into as most people have already voiced their views, it is far better than the 'other options'.
Good luck with your descision.
