Hi Scott! I'm sorry you haven't received an
answer yet, but let me throw in my 2 cents.
The
permaculture 'solution' is often finding another way to look at the problem. Your problem seems to be "too many ants!", and the conventional solution has been to kill some of those ants. I imagine that conventional solution requires frequent re-application, as well as exposure to nasty chemicals. The ideal
permaculture solution only needs effort to start it off, and then 'takes care of itself' as much as possible.
The classic solution to pests is to ask "what eats those pests?" I'm sure if you looked in some of the other forums you'd see people quoting the very popular idea that "you don't have a too-many-slugs problem, you have a not-enough-ducks problem!" On that note, perhaps you could find a way to include guinea fowl or silky
chickens into your site? If allowed to run around near the trees, I'm sure they'd really enjoy ants for snacks, and then you also get
chicken poop, meat, and eggs as resources in exchange for your efforts. Creating habitat for other predators, whether that means birdhouses or bug motels, is sure to help as well.
Additionally, it's often the case that problems plague only certain plants, as a way of telling us that we've missed something in our design. I've had some of my spinach bolt much earlier than the rest, all because I didn't notice that the soil in one spot was much sandier--and therefore got much warmer and drier than the rest. My solution was easy; I didn't plant spinach in that spot anymore. The squash was much happier there. Do the ants attack all trees equally? Or is it certain species, in certain locations? Are some trees more resilient, or less likely to be attacked in the first place? Paying attention to specific details like that can help you find a way to avoid the problem existing in the first place. It might be that you can only have certain species in certain areas, and keep your avocados safe and happy in a different spot.
I hope that this has been helpful, and that you can find a way to get something positive out of this problem! Good luck!