So, it can be done. I recently tuned a guys rock crawler that had a motor from a 2nd gen cruze with a supercharger from a mini cooper (it's a roots style SC but mounted to an airbox, then airbox to charge piping through an IC, basically running it like a centrifugal SC). ANYTHING can be done. Custom fab? Oh yeah. Tuning? F***in HOURS of it to get it set up right. Possible? Absolutely. Any time someone says "that won't work", I consider it a challenge, and I love to prove naysayers wrong. Who knows? Maybe you thinking outside the box will get you to come up with a solution, then you release it to the community as a kit? Who knows. But whomever says "the motor is set up for turbo" and "it won't work" is 100% wrong. These are low compression motors, which is fine for a supercharger. Yes, the cam profile is not ideal for a supercharger, but neither is an N/A car's engine, and people supercharge those all of the time. Not to mention I PERSONALLY worked on the tune for that vehicle, and I know for a fact that the ECM has the tables and the ability to operate a supercharge powerplant, regardless of the engine. As long as you have the proper sensors set up in the right order, money, time, and patience, it can be done.
On that note, yeah; you will be much happier and faster getting a big wheel v3 from ZZP and bolting it on with some supporting mods and a tune. That would get you plenty of power, installs in a few hours and you would come in FAR under $2000 with the turbo, injectors, and HP Tuners and some credits. But if you are good with fab and resourceful I have no doubt you could SC that engine with about the same amount of money (many more days of work, mostly hunting down an OEM SC from something, like a mini, and essentially figuring out how to plumb everything and, probably the hardest part and most time consuming, will be tuning. That would likely be the most expensive version.
If you have questions about how we did it, let me know. I may even start a semi-build thread about it but I have to ask him if that's cool, but feel free to ask if you have any questions (do it here, not PM, so others can see it and search for it). I will spill as much knowledge about the problems we ran into when doing it.