Thanks for the comments everyone. Last year, which was drier, rust was much less of a problem.
I think I'll take the following approach:
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not composting the material, or doing so far away, perhaps under one of the new hedges as Nancy suggested. Last year I did compost the material and, despite my best efforts, I doubt my compost was hot
enough to kill the spores
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spacing the plants a little wider next year
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mulching between the garlic plants next year. We usually don't mulch much during the growing season as our main pests are slugs and the mulch provides ample habitat for them to
shelter under, during the warmer days. The alliums don't seem to be affected by slugs, however, so I could make an exception for them. Note that we do mulch over the winter to
feed and protect the soil.
The idea of adding competing organisms is an interesting one too. I've not ventured far down the path of boosting soil/foliar microbiome, just occasionally adding a slap-dash concoction of things I believe will foster lactobaccilus (such as past-best milk, starchy water from rice or pasta, leftover sauerkraut or kimchi water). I will look into this too!
Interestingly, my broad beans have rust too (a different species, unrelated to garlic/allium rust). I've never had a problem with this before.