Right on. Thanks. That's my plan at the moment - fill the closet to the brim, so to speak. I was Modeling out air gap vs. no air gap using acousticmodeling.com. Any disagreement with with their models (See first post). What product would you recommend in the USA?
Since i'm from Germany, i can't exactly recommend a specific product, but there's what they call "pink fluffy". I think its trade name is Owens Corning Pink fiberglass insulation or so. There may be several different types with different densities etc., make sure to check its gas flow resistivity (gfr) number which has to be ~5 kPa*s/m2 or lower (density approx 10-15 kg/m3). Every glass wool / fiberglass insulation with that specifications should work. Look for uncovered one, some have some kind of paper attached which you don't want.
There are products like hemp insulation etc with even lower gfr but they are usually much more expensive.
Rockwool with such gfr usually is much heavier and not as effective (at least for thick bass traps).
Regarding the air gap:
I would just fill it. i tried both. In my case it even reached lower without it (not very significant though), and it was quite an "effort" to even "install" an air gap and prevent the insulation batts from filling it and remain stable (2,6 meter height). I tried cords/strings which was kind of working but it's not worth the hassle.
Regarding the modeling:
You can download an unrestricted 30-day trial of AFMG Soundflow Pro, which is a modeling/simulation tool which has advanced features and takes some other things into account which allows for more "realistic" results in my experience.
Consider that there (and also at acousticmodeling.com) are different "models" to choose from which will give different results, for thick porous traps i'd recommend the "Miki" model. But keep in mind that in general these simulations assume an infinite expansion or a whole wall covered. Else there will always be diffraction and sound bending around at bigger wavelenghts (lower frequencies), which is a complex topic on its own, so results are just an approximation and may differ more or less depending on a specific situation/geometry etc.
Oh almost forgot:
For first reflection point absorbers you'll need another kind of glass wool or foam if they are not deeper than 20cm.
If your ceiling is high enough, cover as much and as thick of it as you can, but at least the first reflection points.
Cheers