You have listed all the high spots. After Joshua Tree NP, see what the weather is like and then decide.

For hourly conditions:
By road number:

Kings Canyon closes the eastern part around then so check:

Look at the California state parks:

Yosemite can book up early so if you want to go there then you need to book ahead. If Tioga pass is closed, then do not go up 395 because to get to Yosemite would require you to go to Tahoe first and then drive back south.