Ok it looks like I solved my own problem.
At least on some younger zinnias that I have elsewhere, the fungus seems under control after alternate spraying of vinegar water and hydrogen peroxide water.
At first it seemed not to work, but actually since my posting here I haven't had to spray again.
Also, I just pruned the older zinnias. It seems that with
permaculture you already have to start perfect, because you can't really chop and drop vegetable material that's diseased.
So, I guess I just created waste.
I do have a bag of tightly packed grass and weed clippings that I sprayed lightly with
milk whey. I haven't opened the bag yet to see the result. Maybe if I add the zinnia clippings to other weeds and spray them like that, the lactobacilli will have the upper hand on any pathogen.