I've always been partial to prochargers, but I'm not sure who makes a procharger kit anymore (procharger doesn't make an LT1 B body kit and combination motorsports/NRP who used to make a kit I believe is long gone, you could probably get an F body kit to work but I'm sure some custom work/ingenuity would be involved).
RMCR makes a Vortech kit, I believe Paxton makes a kit as well, or at least used to.
To be honest with you, I wouldn't do it though. The power gains just aren't worth the cost and risk on an LT1. When it comes to LS motors. I'm all for slapping on a turbo or LSA blower to a stock motor and letting it eat, but there are a few aspects of those motors that make them better equipped to handle the power boost can bring in stock form. They have far better head flow to take advantage of for bigger gains, already have a suitable ignition system, seem to have stronger pistons/rods and (this can't be overstated) far more tuning options/better capabilities.
not that an LT1 CAN'T handle some boost, but the factory hypereutectic pistons are a huge risk factor, even at low boost levels, unless your tune is spot on...which brings up another issue in that it is difficult to find tuners who have a good track record with tuning forced induction LT cars. The factory ECU doesn't have the capabilities that say an LS Gen 4 ECU has to tune for boost. Realistically, on a stock motor, I don't think you'd want to exceed 5-6 PSI and you're probably only looking at maybe 350 HP to the wheels give or take. Just not worth the $5000+ cost of a supercharger setup unless you are doing it more to be a show car and for the cool factor.
Centrifugal blowers are cool, sound cool, produce awesome midrange torque even compared to a stroker, but for $5000 to make 350whp I'd much rather do heads and cam with a bottom end refresh and make 400WHP; or spend a little more and build a heads/cam stroker; OR LS swap. Just my opinion, although bolting the blower on is probably easier labor wise than any of those other options.
Just breaking it down, you're looking at about $5000 for the blower, $500+ in dyno tuning and I wouldn't want to do it without replacing the fuel pump with a walbro 255 and racetronix harness. If injectors aren't supplied with the kit then you'll need those too. You're looking at like $6K in parts for a setup that won't make more power than a $2500 heads cam package. You can probably find a stock low mile LS3 and swap it in for cheaper than 6k and you'd be making far more HP with just headers/exhaust/intake/tune with late model gas mileage, drivability and just about no risk of spitting out parts from a bad tune.