There are seats available tomorrow, so keep looking out because there will be no shows and changes and things should open up. EK usually fills up till every last seat is gone and then some more.

I'd recommend an expertflyer trial and set up an alert for the flights you want. Keep checking with them as often as possible, or look at seatcounter which will give you an idea.

I don't know if EK would be willing to fly you to LAX instead and then you can buy a LAX - SFO, still cheaper than $1200.