See Here
https://www.pizzamaking.com/ Now go get it. You can also go to Trader Joes for their fresh Pizza dough, just be advised that when they run out riots have been said to have started!
Take a look at pizzamaking. More then you ever would want to know about pizza making, its a huge web site. There is a thread about quick dough recipies and how to make your own sauce, I did it this summer tomatos with skin on ran them thru a food mill. the rest I forget but it was good take a look!
Your Big Green Egg should do a great job with pizza. Happy Pizza making and eating to you and your family!