5.7 Vortec Supercharger

Looking to hear from anyone who’s put a supercharger on a GMT400 Suburban 2500 with the 5.7 Vortec? I ask bc I’ve always wanted a green over gold GMT400 Suburban 2500 4x4 with the 7.4. I found a beauty but she’s got the 5.7. But I want to stay in the max towing range of 10K as with the 7.4 rather than 7K with the 5.7. So I was wondering if a supercharger would do the trick.