Since you are double-posting, I'll repeat what I wrote in the
other thread:
Now that you have posted about being permitless, the ranger may be watching for you. Inyo NF people read this board too, you know.
But why don't you give the Visitor Center a call tomorrow, and ask if they would be kind enough to leave a permit in the overnight pickup box for you. They do that all the time for late-night arrivers who have reservations. ...in fact, if you spend the $15 on the reservation (which may be too late, already, but there ARE PLENTY available), I am sure they would accommodate you with a night-box pickup.
Looking at "step 5" in Versatile Fred's
Permit Reservation Decision Tree, if you had called on Monday, $15 would have reserved a permit for Wednesday, which they could have put in the night pickup box on Tuesday. But call and ask anyway. Let us know what you find out.