I’m glad that you’ve found a doctor who is kind & considerate, and good that hopefully you’ll be able to have tests and treatments on the public health system… There’s info here about the surgical options:
ES Information- Treatment: Surgery - Welcome / Newbies Guide to Eagle Syndrome - Living with Eagle
I agree with @Isaiah_40_31 that you don’t need to worry about the contrast dye for your scan, it’s usually put in using a vein in your hand, and shouldn’t affect you, the only thing they warn you about is occasionally people feel like they’ve wet themselves, you can get a warm feeling down below but you haven’t!
I hope that you don’t have to wait too long & that you can get the ear infection sorted 
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