Make the Dough: Use a stand mixer, fitted with the hook attachment, to combine the flour, yeast, and 1 ½ teaspoon salt.*If you don't have a stand mixer, use a large mixing bowl. 4 ½ cup all-purpose flour, 1 ½ tablespoon instant yeast, 1 ½ teaspoon fine sea salt
Meanwhile, add 4 tablespoons of butter to a small saucepan over low heat and allow to melt. Add in sweet potato puree and four tablespoons of honey and stir until combined. Continue heating the mixture until it reaches 110 degrees Fahrenheit, then remove from heat. (If the mixture reaches a higher temperature, just remove from heat and wait until it falls between 100 and 120 degrees.)
1 ⅓ cup sweet potato puree, 7 tablespoons unsalted butter, 6 tablespoons honey
Add the warmed sweet potato mixture to the flour mixture, followed by buttermilk and two of the beaten eggs, and set the mixer to medium speed to knead the ingredients together into a smooth, sticky dough (about six minutes).*If not using a stand mixer, knead the dough by hand, on a floured surface, for about 12 minutes. It will be elastic and sticky when ready. ½ cup buttermilk, 3 eggs
Proof the Dough: Use floured hands to remove the dough from the bowl and shape it into a ball. Swirl the oil inside the bowl to coat it, then place the dough back inside. Cover the bowl with a damp kitchen towel and sit it in a warm spot to rise until it has doubled in size (about 40 minutes to one hour depending on the overall temperature in your kitchen).
2 teaspoon oil
Prep and Rise the Rolls: Grease and flour your baking dish. Punch/press the risen dough to remove extra air then turn it out onto a floured surface and divide it into 16 equal pieces.
Shape each piece into a smooth ball, and place them into prepared baking dish. Cover and let rise again until doubled in size (about 20-40 minutes depending on the temperature of your kitchen). Preheat your oven to 350 degrees Fahrenheit while the dough rises.
Bake and Finish the Rolls: Brush the top of each ball of dough with the remaining beaten egg, then place the pan in the oven to bake for about 20-22 minutes, or until golden brown and fluffy.
While the rolls bake, melt the remaining butter in a small saucepan over medium heat. Stir in the honey and a pinch or two of salt until uniform. Remove from heat, and brush the mixture over the rolls as soon as they come out of the oven. Serve warm.