The Komodo Kamado is designed to be used with charcoal.
I have made experiments with wood. In my experience the effects were not desirable. The well-insulated KK is engineered with much less airflow than a typical wood-fired pit, so off aromas from incompletely burnt wood become much more apparent.
The refined approach to wood is of course to have two fires. Get the embers perfect in the first fire, move them to the second fire, and cook with the second fire. One approach to preparing embers for a KK could be this nicely engineered unit:
Solo Stove Bonfire
(I have their campfire on order, as this can also be an issue with lump charcoal, if one has fussy tastebuds. I want one for the engineering; my excuse is to prepare embers for a Moroccan majmar. Think of it as a chimney of the gods.)
Alternatively, it's not actually hard to make charcoal. If you have all that wood, you should figure out how. I also experimented with this, which lead me to come up with the "smoke pot" favored by various people here for controlling smoking wood.