If you browse around you'll find that the "turbo" motor is really only different in that it uses the P90 head, which has no liners in the exhaust ports, a J pipe, and a turbo exhaust manifold. People have bolted the turbo parts on to either of the other NA engines and made them work just fine using aftermarket engine management.
If you want to make 350+ HP you'll need aftermarket engine management. So, all you really need are the J pipe and the exhaust manifold from a 280ZX. There might even be aftermarket suppliers for those parts. That's how I'd break it down. Just see what you can find and started piecing things together. If you find a whole car and the price is right, why not? The rest depends on how deep you plan to go in to the engine. Too many possibilities to make a recommendation.
Here's a member who has some opinions. But, if you're like most people who start a project your plans will change along the way. you just need a jump off point.