I was raised in the states, but my Dad never applied for us all to get permanent residency (despite having correct visas) at the time. I'm desperate to come "home".
RHS,
Perhaps a chat with a US immigration lawyer to assess your chances ? Not sure how one does that from Over There. I assume the US embassy as a starting point would be a waste of time ?
This immigration stuff gets complicated in a hurry.
P.S. FWIW, I've not heard of any US carrier taking Europeans straight off the boat the way they do Aussies. Not saying it hasn't happened somewhere, somehow, but I haven't heard of it.