Try talking to the major trainning acadamys direct.
Comair (Sandford FL)/American Flyers(Poampano Beach FL)/Westwind acadamy Scotsdale i think AZ). All had or used to have a policy of taking on there own instructors and can help arrange a visas. Comair also have/had strong links with Delta so you never know.
I pretty sure mad jock is wrong about hundred hrs and ppl, I did it a while ago but didn't work there.
However problems will occur if you have a US CPL. I don't know if this also includes a JAA CPL. Bear in mind though, lots of US acadamys seem to be very good at telling you what you want to hear.