Dissolve yeast in 1 cup warm water in a small bowl; let stand 5 minutes. Combine 1 1/4 cups cold water, oil, sugar, and salt in a small bowl; stir with a whisk.
Weigh or lightly spoon 9 ounces (about 5 1/4 cups) flour into dry measuring cups; level with a knife. Combine flour, yeast mixture, and cold water mixture in bowl of a stand mixer fitted with a dough hook. Mix on low 8 minutes or until dough begins to form. Let rest 2 minutes; mix on low 6 minutes or until dough is smooth. Turn dough out onto a floured surface. Knead until smooth and elastic (about 2 minutes); add enough of the remaining 19 ounces (about 1/4 cup) flour, 1 tablespoon at a time, to prevent dough from sticking to hands (dough will feel sticky).
Divide the dough in half, and place each portion in a large zip-top bag coated with cooking spray. Seal and chill overnight or up to 2 days. Let stand at room temperature for 1 hour before using.
Note: You can freeze the dough in heavy-duty, freezer-safe zip-top plastic bags for up to 2 months; thaw dough overnight in the refrigerator.