Interesting topic..
I have a '16 Hawk on an '05 Tundra AC 4X4 SR5...Firestone airbags and Heliwig sway bar...the truck w/Hawk and mods actually corners and handles better that when I had just a shell..corners like a dream and no swaying.
I have Toyo ATII "C" rated [had them when I bought the Hawk, will go "E" next time] and I set the airbag pressure to raise the rear wheel well height to 35" to match front height...not surprisingly the left air bag requires more pressure than right to level the vehicle...around 41 psi left and 29 psi right..assume 26 gallons of fuel on left is the game changer and most of the Hawk built-in appliances are on the left...only twin batteries on right.
My '05 Tundra has drum rear brakes, to bad, but that is what it is....only felt difference when carrying the Hawk is a longer stopping distance needs to be anticipated.
Phil