Yes, it's not a 2-Stroke Detroit. And even on the the higher HP versions of those engines there was a provision to bypass the blower past a certain point. There are very few applications where running both a supercharger and a turbo/s makes sense. A street car engine isn't one of them.
If you haven't found anyone local I might call Manny at HPP in Dallas. They specialize in turbo cars and race builds. They also have their own TT kit for 03/04's
I didn't have the best experience with them rebuilding my heads on my 03...but would not hesitate to recommend Manny, the tuner. My TT car with big cams has run 100% - cold start e85/driveability...etc. I'm on a stock ECU, but believe they work on about everything modular and alot more.