Britonwhit: Trail Crest exit permits are a "bird of different feather", as they are outside the lottery, become available for reserving 6 months before the hike(exit) date, and 40% (10 permits daily) are held back for walk-in requests.

With you coming from so far, I would assume you need to decide early on your hike dates, so you might be able to be a first to reserve on the 6-month timeline. I am not sure what hour each day they come available, but it should be something like 7 AM Pacific Standard time.

Now, that being written, can you give a month you would like to know about? I might be more successful getting numbers for a single month when I ask for them.