Hey, I think I may be able to help here.

I run Bilstein 5160 piggyback reservoir shocks, which are constructed similar to these Kings. I ran into the same issue.

I ended up getting a piece of stock aluminum from my local Lowe's and made my own remote brackets, sandwiched between the bumpstop and frame like so (Swaybar was removed in these pics):





No more sway contact, and out of the way from the tires too.

Aluminum: https://www.lowes.com/pd/Hillman-3-f...-Solid/3053609

The aluminum is lightweight and pliable enough to bend without much heat. Still super rigid too. May give you some ideas. Long story short, I think I've learned that there is no way to run a sway bar out back with a piggyback resi attached to the shock.