Combine first 3 ingredients in a large bowl.
Dissolve yeast in 1/4 cup warm water in a small bowl; let stand 5 minutes. Stir yeast mixture into milk mixture. Add egg substitute and 3 tablespoons melted butter; stir until well combined.
Weigh or lightly spoon flour into dry measuring cups; level with a knife. Add 16.8 ounces (about 3 1/4 cups) flour to yeast mixture; stir until smooth. Turn dough out onto a lightly floured surface. Knead until smooth until elastic (about 8 minutes); add enough of remaining flourm 1 tablespoon at a time, to prevent dough from sticking to hands (dough will feel slightly soft and tacky.
Place dough in a large bowl coated with cooking spray; turn to coat top. Cover and let rise in a warm place (85 degrees), free from drafts, 45 minutes. Punch dough down and turn over in bowl, lightly coat with cooking spray. Cover and let rise another 45 minutes. Punch dough down; cover and let rest 5 minutes.