Alternatively, do an FAA CPL/IR and then convert it. Conversion course requirements are training as required for the CPL, and then 15h (max 10h FNPT2) for the IR. There are currently 5 schools in the USA that are approved to do CPL courses.
So it basically means you can have a JAA CPL without ever having flown in JAA airspace! I reckon that's not a bad thing, because at the end of the CPL is a means to an end*. The IR is the 'real deal', and this has to be done in JAA airspace.
*can of worms: OPEN!