I dont think the FAA will accept a JAA type rating.
I did try to convert mine (with 600hr on typ) but they still wanted me to do a simcheck.
Don't go to BAC express very expensive, Streamline is a lot cheaper .
You could also try express Airways in Germany they have a lot of shorts and had a lot of US pilots.
or try ,Air cargo Carriers,Milwaukee phone 9204821711(they did have 4*360 and 10*330 ,a couple of years back)
or Corporate air (406 2481541) also old information out of JP airline fleet 1999
good luck with your type.
Neil