Stir together all of the starter ingredients in a bowl and cover with a clean kitchen towel. Let sit at room temperature for at least 2 hours and up to overnight.
To make the dough: Stir the starter slightly. Add yeast, flour, honey, salt and water. Stir to combine, and let sit for a few minutes. Turn dough onto a floured work surface and begin kneading; add additional flour a little at a time as needed until a nice soft dough forms. (Total kneading time should be 10 to 12 minutes.) Place in a greased bowl, drizzle some oil over the top and cover with a dish towel. Allow to double in size, approximately 1 hour. Punch the dough down and allow to rise for another 45 minutes.
Preheat oven to 475 degrees and place a cast-iron skillet on the lowest rack in the oven. Allow the skillet to preheat for 30 minutes.
Place the dough top side down on a very lightly floured surface. Sprinkle with flour and form into a ball. Place on a parchment-lined tray dusted with flour. Dust the dough with more flour, then make three slashes in the top of the bread. Place in the oven.
Pour ice cubes into the cast-iron skillet and immediately close the oven. Turn oven down to 425 and bake bread for 30 to 35 minutes.