Storing chicken of the woods mushrooms
As a mushroom variety that is associated with allergic reactions to some, I don't think it is advisable to dehydrate it. This would only serve to increase the concentration of toxins that likely cause the allergies in the first place.
As Stephie mentions in her comment the safest solution would be to pick and sauté only fresh young brackets, then separate and freeze them in portions as needed.

As a side note, most of the brackets you have there are quite large and mature. If you haven't eaten this particular mushroom before or are not sure of its origin, I wouldn't recommend eating them as they may cause the allergic reaction I mentioned or even vomiting and diarrhoea.

As another side note, try sautéing the fresh ones with butter a hint of Chardonnay and some teriyaki sauce.