Good morning Ian, and Welcome to the forum.
aahhhh.. young love.. and then wanting to follow her half way around the world, set down roots in a new country, with a new language and culture.. the story sound familiar, but I can't quite place it.
Come for a visit(!) You have the option of being here for 3 months, without a work permit, on a tourist visa. See if she is really the person you thought she is.
When you have
finished your degree, come for a visit. If she too, believes you to be The Love Of Her Life, then small issues like borders and permits, can easily be overcome.
There are enough US people here to prove to you that they can get a job, else you could both pop down to Germany, and try your options there.
So many possibilities.. The world is your oyster, mate