In large bowl, mix 1 1/2 cups of the flour, the yeast and salt. In medium microwavable bowl, mix potatoes, milk, honey and 1/4 cup of the butter. Microwave uncovered on High 1 minute or until mixture reaches 110°F. Add potato mixture to flour mixture, stirring until blended. Stir in eggs.
Add 2 cups flour to potato mixture, stirring until soft dough forms. On floured surface, knead dough 10 minutes or until smooth and springy, adding enough of remaining 1 cup flour to prevent hands from sticking to dough (dough will be soft).
In greased bowl, place dough; turn greased side up. Cover; let rise in warm place (80°F to 85°F) 1 hour or until doubled in size. (Dough is ready if indentation remains when touched.) Punch dough down; let rest 5 minutes. Spray 2 (8-inch) square pans with cooking spray. Divide dough into 18 equal portions; shape each into a ball. Place in pans; spray tops of balls with cooking spray. Cover; let rise 30 minutes or until doubled.
Heat oven to 350°F. Bake rolls 30 minutes or until browned. Melt remaining 2 tablespoons butter; brush over rolls. Serve warm.