I wouldn't worry about the airbox. The Black Cap silencers and the plastic air box were designed for noise reduction.
The Black Caps cause a lot of power sucking exhaust restriction.
The airbox works the other way. It was designed to reduce induction noise by slowing the air flow. This was done by having a large airbox capacity and a large filter area, all good for power output.
Do remove the snorkels.
I wouldn't waste time on the Black Caps as they were so horribly debilitating to my 850 on power testing. I also happen to prefer the look of the peashooters, which are very good for power.
If you are set on the Black Caps, there is probably a way to core them out.
Glen