The fact that Yosemite had gone to a timed entry system was, until yesterday, news to me in all honesty. I'd only seen it mentioned when I went on to recreation.gov worked as I need to source my own timed entry tickets for Rocky Mountain NP (these are not available until much closer to the time unfortunately).
Your post actually got me to wondering when they released Yosemite passes as there may be a need to re-route our own trip should the road through the Big Sur area not re-open after the winter as Yosemite is the natural alternative route from SF to Furnace Creek. Surprisingly they are on sale now and I reserved my own for the period which we would be travelling through the park should worst come to worst. They cost $2 and are valid for three consecutive days so I figured there's nothing to lose and will cancel it closer to the time if we are not going to need it. I'd suggest checking out
this page at recreation.gov and reserving now also if you have your dates all set.