how to get maximum amount of rise for shaped pizza
The pizzas I make have a resting time to improve flavor in the refrigerator. I then take the balls out and, after warming up, stretch them to the appropriate size and add the sauce and all the toppings. It immediately goes into the oven. It rises and puffs up in the oven due to oven spring.

If you let it rise beforehand, I would think the added toppings would collapse the dough. Also, if it rises before putting in the oven, there may not be enough left to have an additional rise so don't do that and see what happens. Just put it in the oven right after stretching and topping.