I began clearing the gyrochopping debris from the open areas when I could find them.
The fact is that without digging up some trees, the open areas will remain small because of normal plant succession/regeneration. A more radical approach may eventually be necessary. Perhaps the best time to do it is while the trees are small and the western burn piles are still unburned.
Work stopped while I paused to collect a rather large (55 mm) beetle that came walking into one of the cleared areas. It's a Cerambycid of some sort, I was told. It's in the freezer.