You are correct, your car has a VQ35HR. My car has a VQ35DE. 350z came with both, the later models being the HR model, earlier being DE.
For an idea, have a look at some of the V and/or Z forced induction builds on various forums, to give you an idea on what your in for if you want to go down that path.
A quick search showed that GTM have a SC kit for the HR v36 at least in LHD form.
My logic behind it all was even though I enjoyed what I had, it wasn't ever going to be a track car, which is where my interest headed. Hence why I sold off the turbo kit, and bought a more dedicated car.