Daniel - when I was training for my JAA PPL in the US a couple of the instructors who were Swedish had trained at a place called Conway in South Carolina called the North American Institute of Aviation before moving on to instruct.
Apparently it was a school that had historical ties for the Scandanavians (hence the schools was full of them) and I think used to be where SAS trained some of its cadets before that ceased. Not sure if they can issue visas though.
To emphasise a point made earlier.....If you go to one of the JAA schools in the US you will pay through the nose for the same pieces of paper than if you went to an FAA only approved school (visa hurdle to overcome of course). You will probably find much better information on US schools if you start searching on US websites and forums like landings etc. Good luck.