Couldn't find the wing but did find stellar dispersed camping.
PSA: Coconino Forest Service is impossible to reach, and their road and fire info on their many messages (via prompts) are outdated. Fortunately, their website is also not always current and poorly organized (at least they are consistent).
I recommend having a plan B and C mapped out in case of road or site closures. Fortunately their are plenty of great spots off 171 and it's adjoining FS roads.
Temps are quite a bit cooler than Prescott, Sedona, Pine n such, but nights can dip in low 30s in May/June, so pack accordingly or freeze. I've done both and wouldn't recommend the latter.