I think if I were to get an LS1 F-body, it would be a 2001 or 2002. You get the LS6 intake, no EGR either.
But seriously you have a great car now, with a great foundation. I say stick with that and move forward.
As a point of reference a friend of mine has an LT1 396 (P&P LT4 Heads, CC Cam, long tubes mufflex etc..) that car when put up against an P1SC Procharged 2002 SS with 3.73 and long tubes, will pull on it every single time. AND the LT1 car also passes emissions.
So don't eliminate the LT1 for possible modding issues. They ARE fast. And you can buy them dirt cheap now.