No intercooler, wouldn't be my choice
I have an A&A centrifugal supercharger on my 08. It has, what appears to be, a pretty large intercooler. Andy Green, who produces the A&A Supercharger, is very proud of his large intercooler. I think it's made by Griffith aluminum radiators. It's large, but once installed, it's not really that noticeable by looking into the front grill area of a C6. The A&A supercharger installation has a very factory look to it.
The intercooler is only needed for sustained supercharger boost. The A&A supercharger is a Vortec centrifugal supercharger. Driving aggressively on the street and freeway, I just rarely go over 2000 rpm. The supercharger is pretty much ineffective at less than 3000 rpm. I think at 2000 rpm, it produces 1/2 psia of boost. ( 8 1/2 psia at 6500 rpm) The 6.2 liter LS3 engine is amazingly powerful on its own...without a supercharger. Anytime I've gone above 3000 rpm, where the supercharger is really starting to work, it's only been for a few seconds...really didn't need an intercooler. Anyhow, the A&A supercharger kit is really well engineered...and I think that many long minutes of supercharger action at 3000+ rpm, his intercooler will be necessary.
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An unpaid solicitation. Since the centrifugal supercharger is pretty much ineffective at rpm's less than 2000, and since a C6 can drive aggressively in street and highway traffic at less than 2000 rpm with stock hp, the centrifugal supercharger doesn't noticeably effect street/highway performance and doesn't effect fuel consumption when driven as a street/highway car...and it meets California smog requirements. It means my wife can drive the car...she's been warned not to press the gas pedal to the floor! At 3000 rpm, the car's performance just explodes. Unlike a roots blower, the centrifugal just keeps pouring on power right up to the red line. Roots blowers will typically flat line before redline.