If you are a JAA Flight Instructor (even with little experience) there are opportunities at JAA Approved Schools in the U.S. Normally you would be bonded for the cost of at least an FAA Commercial, Instrument and CFI certificate (which the company provides the training for) but a work visa at the very least is normally arranged. At least that gives you the chance to meet that SoCal girlie and progress onto the illusive "Green-Card".
I suspect you're not a pilot though?