I’m a sucker for Weber offerings. I have the black stone (love it) and the pizza oven (love it!).
Had I not have those, I’d try the gourmet system stone.
That said, you already have one, so give it a try!
Just go easy on the fuel right below. Go sides and behind.
If you have a large cast iron pan, that should work too. I’d flip it over.
Good luck!