Combine 1 C flour, yeast, sugar, salt and soft butter with mixer using regular mixing paddle.
Using the thermometer, test temperature of water with thermometer and measure out water when it is the right temperature- between 105-110°.NOTE: Less than 105° will not activate the yeast and over 110° may kill the yeast. If your rolls don't rise...that may be the cause! Add water and beat at medium speed with the paddle or regular beaters for 2 minutes.
Add egg, 1/2 C more flour and beat for one minute on high.
Change to dough hooks. Stir in remaining flour and knead with dough hooks until smooth--about 5 minutes or less.
Cover the dough with a clean dish towel. Let rest in a warm area for 15-20 minutes.
Roll out dough on a floured surface into a rectangle with a rolling pin.
Spread the dough with softened 3 T butter.
Mix together the brown sugar and cinnamon and sprinkle over the butter.
If using pecans--chop them, feel free to toast or not, and sprinkle across the dough evenly.
Roll up the dough evenly lengthwise. Seal edge with your fingers.
Butter baking dish.
Slice dough into rolls 1" rolls (by using a piece of thread) and going under the roll and crossing above the roll.NOTE: enough thread to go under and cross over the roll- about 12" Place rolls into pan, cut side down.
At this point, you can cover with saran wrap and place them in refrigerator 2-48 hours.
When you are ready to bake, set out for about 15 minutes to an hour to let the rolls rise again. TIP: Add to the stove top while the oven is preheating to have them rise well. Preheat the oven to 375°.
Bake uncovered in center of the oven for about 20 minutes. They should not be doughy or too brown.
While the rolls are baking, mix together the icing ingredients until smooth and desired consistency.
Remove the rolls from the oven and cool slightly. Then drizzle with icing.