My method may not be helpful to you, because I don't make Neapolitan pizza. It's not for me. I make plain old NYC pizza at 500 degrees or maybe 550. As you may know, traditional New York pizzas are not cooked at high temperatures. Some people don't know that, and there is a lot of mythology on the web, but if you go to an old-style pizzeria in Manhattan and look at the ovens, you can actually see the temperatures, and I've seen things like 475.
I don't use 00 flour, either. It's wrong for this kind of pizza. I've tried everything. Caputo. All Trumps. Bouncer. Golden Tiger. Every grocery brand. Pizza flour and bread flour from King Arthur. I can't even remember them all. White Lily. I use Gordon Food Service Primo Gusto. I hand toss. I don't want to mash the dough with a pin, although it probably doesn't matter. The best pin I've found is a length of 2" PVC pipe.
I use a steel. I used to use a stone, but I bought a square of 1/4" plate, and it's much better. It browns the bottom of a pie fast. I don't assemble pies on peels or screens. Pizzas sometimes crumple when you try to slide them off peels, and you have to use a lot of messy semolina or corn meal. I assemble my pies on sheets of nonstick foil. Then they slide right off the peel every time. After two minutes, I pull the foil out from under the pizza, and it's right on the steel. I keep the steel low in the oven.
These days I use the convection setting, and I generally go about 10 minutes for a thin pizza.
Sicilian is completely different.
My thin pizza is excellent, but the Sicilian is the best pizza I've had anywhere, and I lived in New York for years.