Not an answer, but same. I've been using my cast iron as a pizza stone and I've never managed the same results. One of the first thing I do when I get a yard is get a pizza oven, but that may be a bit down the road.
I have a pizza steel and a 500 degree max oven setup and its generally been good for me but getting good charring on the top and bottom is still always a challenge. That being said, outside an ooni or similar, i think a steel pizza given me some of the best home pizza so far. Id recommend picking one up and trying it out.
You will definitely burn your first 10 pizzas, but you get the hand of it. Trick is to start at high heat and then drop the flame down when you launch, gives you some time for the dough to set so you can move it around