Combine warm water and yeast and let sit for 5 minutes.
Melt the butter in a small saucepan. Remove from heat and add fresh herbs. Let cool slightly.
In the bowl of a stand mixer fitted with a dough hook, combine 2 cups of the bread flour and salt. Add the yeast mixture and butter mixture and mix until dough comes together. Add remaining flour 1/4 cup at a time until dough clears the bowl and is just slightly sticky to the touch.
Knead until smooth and elastic, about 5 minutes with an electric mixer and dough hook. You may also knead by hand, it will just take longer.
Cover and let rise until doubled, about 1 hour.
Preheat oven to 450 degrees F. Line a cast iron dutch oven with parchment paper or grease with olive oil.
Punch down the dough and knead a few times by hand. Reshape and place in the prepared dutch oven. Use a sharp knife to cut a fairly deep "x" into the dough. Drizzle with olive oil and sprinkle with coarse salt and more herbs.
Cover and let rise an additional 30 minutes.
Bake for 30 minutes with the lid of the dutch oven on. Remove the lid and bake for an additional 15-30 minutes until loaf is browned. Let cool completely before slicing.