Grease a large bowl. In a liquid measuring cup, combine the eggs, milk, and honey.
In the bowl of a stand mixer fitted with a paddle, mix the flour, yeast, and salt and stir on low to combine. Add the egg mixture and mix on low to combine. Add the butter one piece at a time, then increase the speed to medium and beat the butter into the dough, until all the small butter pieces are incorporated, about 1 minute. Transfer the dough to the prepared bowl. The dough will be very sticky and shaggy, so use a spatula to scrape the dough into the bowl.
Cover the bowl with plastic wrap and let it rise for 30 minutes. Place your fingers underneath the dough and gently pull the dough up and fold it back over itself. Turn the bowl and repeat this folding again. Repeat 6 to 8 more times until the dough has been folded over on itself. Re-cover the bowl with plastic and let rise for 30 minutes. Repeat the series of folding 3 more times, for a rise time of 2 hours and a total of 4 foldings.
Tightly core the bowl with the plastic wrap and refrigerate overnight, or up to 72 hours. Sarah suggests the dough can be used right away after the initial 2-hour rise, but she finds it easier to work with after it has been refrigerated overnight.