I'd recommend you doing this,
GTM Motorsports*::*POWER PACKAGES*::*GTM 370Z VQ37VHR 500HP SUPERCHARGERD PACKAGE
No worries installation and testing well within your price range. Ship your car there have them get it running right, fly over and pick it up and drive it back. And non of your concerns about turbos.
You can spend the rest of the money on other upgrades, like the stereo, speakers, road trip, racing classes, etc.