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To make the dough: Weigh your flour; or measure it by gently spooning it into a cup, then sweeping off any excess. Combine all the ingredients, and mix and knead — by hand, mixer, or bread machine — to make a soft, smooth dough.
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Place the dough in a lightly greased bowl and allow it to rise, covered, for 60 to 90 minutes, until doubled.
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To make the filling: Mix together all the ingredients, stirring until smooth. Set aside.
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Turn the dough out onto a lightly floured or greased work surface and stretch or roll it into an 8" x 14" rectangle.
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Spread the filling (microwaving it briefly if necessary to achieve a spreadable consistency) onto the surface of the dough, leaving 1” uncovered on one short side. (A small offset spatula is a helpful tool here.)
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Starting with the filling-covered short side, roll the dough into a log. Use a sharp serrated knife or dental floss (really, it works!) to slice the log into eight buns.
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Place the buns into a lightly greased 9" round pan, spacing them evenly.
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Cover the buns and allow them to rise for 45 to 60 minutes, until puffy. Toward the end of the rising time, preheat the oven to 350°F.
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Bake the buns for 20 to 25 minutes, until they're golden brown.
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Remove the buns from oven and allow them to cool in the pan for 5 to 10 minutes before icing.
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To make the icing: In a small bowl, combine all the ingredients, stirring until smooth.
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Pour or spread the icing evenly onto the warm buns. Serve buns warm or at room temperature.
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Storage information: Wrap leftover chocolate buns and store at room temperature for 1 to 2 days. Un-iced buns can be stored in the freezer for up to 1 month.