I can peel chicken eggs fine, but boiled quail eggs are much smaller & easier to break. I tend to use my finger nails to help with peeling but it's easy to cut it too much due to the thin egg whites. Sometimes, even just pulling a half-off shell piece is enough to break the egg in half.
I've tried thermal-shocking the shell with cool water right after boiling & lightly cracking the shell before peeling, but the shells tend to come off as small pieces rather than whole big ones, making each egg take >10 seconds to peel, which adds up really quickly. Even peeling them underwater doesn't seem to help much, as it doesn't separate the shell from the white.
What's a good way to more quickly peel such small & delicate quail eggs without breaking?