Lots of recip GA jobs - instructing, banner towing, and especially freight. All pay dismally, but it's flying time and experience. Minimum for the regional airlines has dropped to 1000TT/200ME and there are quite a few guys getting hired at minimums. Some go directly to RJs. As an Aussie, the problem is getting the "right to work" (green card). Find yourself a nice American girl and settle down in the US. For some reason the American women seem to like you guys. If you're going to take our jobs, you might as well take our women too!!
There's lots of ex-pat Aussies and Kiwis working over here, but to be eventually competive for a U.S. major you'll need a university degree also.
Good luck. Cheers mate.