Is there any way you can par-bake the skins?
Going out on a limb, here is something to try;
Make your dough using only 0.2% IDY.
Process/manage the dough in your normal manner (may need to change that but let’s go with it for now).
Open the dough balls up into skins, place onto screens, using a hair dryer dry the top of the opened skin to form a leathery, dry crust on the dough, then flip it over (dry side down), lightly brush the top with oil and place into a wire tree rack, cover the entire rack with a bag for storage.
If you bake on the screens be sure to gently lift the dough skin off of the screen and re position it so and screen marks are now out of register. Don’t worry about the dry skin/crust on the bottom of the skin as it will add to the crispiness of the bottom of your pizza.
Tom Lehmann/The Dough Doctor