For the same money you can have more power without compromise by using ported LT1 stuff and a modern cam. With lumpy cams there are stock shortblock cars making as much power at the wheels as the full LT4 HOT package does at the flywheel.
I assume where you are inspection is a concern.
This is what I use.
Advanced Induction - 200cc LT1 Competition Head Package
For an emissions setup on a car that won't see much track time you could skip the intake manifold porting just use a stocker, a milder cam, some shorty headers and I would think 360 or so rwhp is still possible where the LT4 package might get you 330 with more compromised lowend. The LT4 stuff really isn't all that great, even ported stuff on racecars the LT1 stuff on average does better with less rpm. Even their 190cc head would do fine for most emissions setups, my car ran 11.9 with those heads a little milder cam/stall/gears.
The ONLY reason I see for the LT4 package is to use all GM stuff on a showcar or something, otherwise there is no point to it. Such opinions upset folks and when I start providing links and car details that support my opinion they get even more upset.
The LT4 HOT package makes 425flywheel HP in a perfect world without accessories and such. Losses from accessories,intake tract, exhaust system etc. to the tires will drag this down near 330rwhp.
Here is what a car with the setup I have makes.
Ai 200cc CNC H/C Dyno, A4, 425rwhp - LS1TECH
The cam is not emissions compatible and needs enough rpm that most wont want to risk it on a stock shortblock.
I don't have dyno info for my car but this is the same setup but in a more track prepped car, few hundred pounds lighter, more stall and gear, no exhaust system and a highly skilled owner who gets every last bit of performance out of it.