I usually end up tinkering and modifying the fire pit to try to eek some better air flow patterns, but it's usually a lost cause with open pit fires.
I might just cave and get one of those stainless inserts, but what I'd really like is something flatpack that I could assemble into a more efficient burner. I've seen small ones [1] that slot together to make a rocket stove, but nothing campfire sized.
I wonder how much demand there would be for such a thing. Seems like there are several products for general "firepit" designs, but without a chimney, these suffer from most of the same problems as open pits. [2][3]
Edit: oh, maybe a "tent stove" is what I'm looking for.
[1] https://www.amazon.com/Marsh-Kettles-Flat-Rocket-Stove/dp/B0...
[2] https://www.amazon.com/Flat-pack-firepit-grill-carry/dp/B086...
[3] https://www.etsy.com/listing/799723294/flatpack-firepit-port...