I’ve found that 1/4” Steel Pizza baking plate worked better than the ceramic for thin and crispy pies on the KK using highest grate and temp between 500-550 and would take 4-5 min. Used the Super Peel to place the pies more precise when making large ones.. I couldn’t really fit many pies in my KK; so ended up purchasing a proper wood fire oven (a Torino Venetzia) that cooks at higher temps and just under 2 min for great Neapolitan style pies..
Tip, If you have a Trader Joe’s nearby, their ready made pizza dough is another option ready to use (after letting it rise in separate dough balls)…. I stopped making the dough once I moved back State side and happen to have a TJ close by.