Your last sentence sums it up.
The lack of reply here is not reflective of interests on the subject. My guess is that most people viewing this thread, like myself, do not have the answers you are looking for. Nonetheless, we're all sitting on the sidelines waiting for the results.
FWIW, I urge you to check out Paul Stamets if you have not done so already. His company, Fungi Perfecti, offers many different species for growing.
Intuitively, it would seem to me that fungi would love char. Hence, we've had discussions here about introducing fungi and char to compost bins (along with all the goodies you've mentioned). I don't recall how that experiment turned out, or if the member even came back to give results. I'll try to find the thread...
EDIT: Well, I couldn't find exactly what I was looking for, but there's some good info in this thread.
Garden Soil