Yukon Gold Cinnamon Rolls

Name: Yukon Gold Cinnamon Rolls
Ingredients: 1 pound Yukon Gold potatoes, peeled, cut into 2-inch pieces; 1 tablespoon coarse kosher salt; 1/2 cup (1 stick) unsalted butter; 3 large eggs; 4 1/2 cups (or more) unbleached all purpose flour; 1/2 cup warm water (105°F to 115°F); 3 1/4-ounce envelopes active dry yeast (scant 2 tablespoons); 2 tablespoons sugar; 1 1/3 cups (packed) golden brown sugar; 2 1/2 tablespoons ground cinnamon; 3 tablespoons unbleached; all purpose flour; 9 tablespoons (1 stick plus 1 tablespoon) unsalted butter, room temperature; 2 cups powdered sugar; 1/4 cup (1/2 stick) unsalted butter, melted; 2 tablespoons (or more) whole milk; 1 teaspoon vanilla extract; 1/8 teaspoon coarse kosher salt