I agree with just using your pit regularly, the heat will keep anything from growing there. If you are worried about setting a root on fire just do like you said and dig down a bit and put in a layer of rock as a barrier.
Unfortunately I don’t use it too regularly. Mainly in nights I find myself not needing to wake up at 0300 the next morning, which isn’t often. So it tends to get wild there during the mid to late summers
Disastrous_Appeal_24 t1_j9ybxdg wrote
Landscape fabric is what you want to use. It will block growth but let water through.