The air delivery tubes are inside the burn pan, the coals go right on it and it works great.
I'm using parchment paper on the pizza for now because I don't have a pizza peel, I would prefer to use corn meal flour on the pizza stone with no parchment paper but I have no other way to get the pizza on and off the stone currently...
I've been down that road too. In a pinch I used cardboard but it really got soggy as I tend to use a high-hydration dough. If you have a local restaurant supply store they should have a nice, inexpensive aluminum peel.