On a lightly oiled work surface or sheet pan, press 1 dough ball into a thin, roughly shaped, 10-inch round. Repeat with the remaining dough balls. Carefully set 1 dough round over the hot fire and grill until firm on the bottom and easy to lift, about 1 minute. Using tongs, move the crust to the medium-hot fire and continue grilling until the bottom is deeply browned and blistered, about 2 minutes longer. Carefully flip the crust and return it to the hot fire until cooked through, about 1 minute.