Hi,
Had the same problem after my F900 type...
NO, you can't do it in a N-Reg aircraft, mostly because the JAA-TRI or TRE that you require cannot perform his training role in an N-reg, even if he is also a FAA instructor.
The obstacle in these things is most often the airplane owner, who does not fancy having his toy used as a training tool for "outside" pilots. Try contacting G5 Executive in Zurich, they can dispose of their planes as they see fit, and with the recent downturn in charter, might be happy to provide an airplane.
If you can't find a TRI/TRE, then send me a PM, I have a few names on file.
As the previous poster said, neither the plane nor the instructor will be cheap... Plane and instructor will actually run you around 10'000 Euros, IF you can do the landings where the aircraft is based..
FlyMD