Just mounted the Shadow 16 INNO box on my 2011 Grand Cherokee. The fit is perfect and the look is much cleaner than pictures I've seen of the comparable Yakima box. This box seems to be very well designed and made.
I've utilized Thule's Rapid Podium base mounted to the factory rails then topped with the Thule Aero bars. It all fits and functions well with no wind noise.
Using the factory roof rails, the span between the Thule Aero Bars is 31". At full span the box does touch the factory antenna but interference is very minimal. I've set the box slightly off center on the roof to minimize this issue. One could set the Aero bars at 29" apart (move the rear rail and the box forward) and thus avoid the antenna.