you won't get a GSR in there for 2700 bucks, let alone a type R.
both are out of your budget, considering the change over is going to run you more than your budget with shipping... and that's before you score a cable b16 or ls tranny (or retrofit your car to use hydrolics), mouts from hasport, etc, and all the misc fluids, tools you don't have, etc etc to get it done.