So I have been grilling pizzas for awhile now and always just banked the coals to one side and tossed the dough on, flip, add toppings and cook the rest of the way. I want to pick up a pizza stone and am torn between the Big Green Egg and the Red Sky Grilling stone. Any recommendations? The BGE one seems thicker but I kind of like the shape of the Red Sky one. I would also like to use it in the oven.