Hey just an update for anyone interested: tests came back and iron was actually pretty normal, but manganese was a little high. Well below advisory levels, but around the secondary maximum contaminant level. This may explain the (very mild) staining I sometimes see.
Anyway hopefully when it's warmer I can seal up the places where that hardware cloth is sticking out.
Because of this (and other issues related to this jenky well) I'm looking for some input on effective, off-grid water filtration. Started a new thread here for any one interested:
https://permies.com/t/212532/grid-water-filter-tips
Thanks for all the help!