You don't have to go to University to access FEE-HELP. I'd recommend checking out TAFE courses run by smaller flying schools.
I recently completed a Bachelor of Aviation at university and put a lot of my flight training on FEE-HELP. The flying school I went to was too big and didn't really give a stuff about my progress, there were 2 month long gaps in my training due to shortages of instructors.
I've since moved to a smaller school and I'm progressing faster than ever and enjoying my training a million times more than I was at the University's flying school. The smaller school I'm at now have a TAFE course with access to FEE-HELP. If only I had known that 3 years ago, it would have saved me a lot of time, money and headaches.