I thought I’d share my success story. For a long time I fumbled around trying to make EZ peel hardboiled eggs, trying everything I read, modulating every variable. Cooling the eggs quickly was so elusive. I could never manage enough ice. Here is the trick I found that allows the shells to slide right off:
SNOW. I realize not everyone can take advantage of this, but I boil 36 eggs in a large pot for about 5 minutes, then move the pot to the sink. I IMMEDIATELY pile snow on top of the pot, as high as I can. When the pile is about a foot high, and covers the pot, I wait until it stops melting and reaches near equilibrium. Then I remove them and store in the fridge.
Hope this prevents others suffering!