As someone that owns an Elise with a stock supercharger, I have to say it's not worth the effort. I'd just get a BOE Torque 200 tune and call it a day. I was at Streets of Willow with another owner with a NA 200 tune over the weekend and our straight line speeds were pretty much identical and he doesn't have the issue with heat soak. Hell, I've actually considered taking off the stock SC and going NA.
This. Just do this.