It all comes down to the type of license you are holding. You have a JAA license, that means that the country that is going to insert the TR into your license is a JAA member state. Thats why all your training must be performed according to JAA rules. Which means you have to do 6 take-off's and landings in the actual aircraft, if you haven't flown a similar weight class before.
Sorry, there is no way around these rules... you can NOT get an FAA or ICAO type-rating inserted into a JAA license, nor just perform a partial training without the base-training, it just doesn't work that way...
Best of luck with the job