You may have more luck going down the JAA instruction route but I would think that you would have to have a decent looking instructional CV already for a flight school to make that comitment to employ you. Also with sterling being so low at the moment many JAA schools may start to find their business suffering.
One thought: I know it is not the USA but Moncton Flight College in New Brunswick have had opeings for JAA FI in the past, and the work permit issues can be a lot simpler in Canada.