A FAR 142 School can add a foreign type rating to your FAA Airman Certificate provided you have experience on type as PIC. They have a short course for this and you will have to get fingerprinted and background checked before you can be in the simulator with the motion on. As far as doing this concurrently with your SA recurrent, it all depends on what you are able to negotiate with Sales. They will most definitely charge you extra for having to provide you with an FAA approved instructor and examiner. Furthermore you will have to complete all the ground school and simulator modules which will be different than your regular recurrent. I think FSI and CAE will probably want $15,000 or more. The cheapo route would be PANAM or similar in the USA for half the price. But don't expect great training at the "mill" schools.