...BTW your Bieber avatar is awesome.-Malone
The turbo that moves the air well also makes a lot of noise. Mine is in a lexan box and it is still louder than the engine. The car sounds like it has a turbo though. Probably like the intake, longer tubes make lower frequency so you may not hear it as much? Good luck
FWIW I'd try something like Dynamat on the outside and this: Auralex 2SF22CHA 2 x 2 Wedge StudioFoam 2" Foamlining both the inside of what you have existing + an extension from the intake port.
AIUI...Generally, sound waves travel straight, so curved or serpentine ducting is effective if the inner surfaces are non-reflective (soft).Heavy materials generally absorb sound better than thin or light, e.g.: metal castings vs. thermoformed plastic. Dynamat type wrap on all the thin surfaces can help absorb resonance.
cant you try a OEM airbox?with the snorkel inside? if nor maybe you can locate the intake on another side,farther from the cabin...
I suspect part of your problem is turbulence in the transition from the small hose to that tin drum and from the drum to the square inlet to the outside air. I suspect that you will need to smooth up these transitions to have any chance of quieting it down. Pointing the inlet forward instead of at your feet may be the most important step, however.
i see high HP buils using stock airbox(the larger,square one), why do you think it may not flow enough?
A quick test using the factory air box and a sensitive vacuum gauge in the intake tract might answer your question. As long as you're seeing less than 15" water column you should be fine.