While the dough is rising, you can make the turkey mixture. Cut the turkey into smaller pieces. In a skillet heat 2 tbsp of butter then add the turkey to it. Season the turkey with salt and pepper. Cook the turkey on all sides until it's no longer pink. Take the turkey out of the skillet and chop it up in small pieces or pull it apart with a couple forks. Place the turkey in a bowl. Add the shredded asiago cheese to it, hot sauce, garlic chili sauce and dill. Mix everything well together. Let it cool.
Place the dough into an oiled bowl and rub some of the oil all over the dough. Let it rise in a warm place until it doubles in size.
In the bowl of your mixer, add the flour, salt and mix. Add the butter/egg mixture and the yeast mixture and using the paddle attachment, mix it all together until everything is well incorporated. The dough will be fairly soft.
In another small bowl mix the eggs and the melted butter.
In a small bowl, combine the water, sugar and yeast together and let it sit until the yeast bubbles.