Most charging will still happen during cheap times if you plug it into the 110V after dinner or when you go to bed
You are located in a somewhat unique area for California, a subsidized non-TOU, non-EV region. The rest of this post is for people who live in EV Time-Of-Use (TOU) regions where they exist, both in the US and abroad.
Let's look at San Francisco. Charging at 2pm-9pm is .48-.33/kWh (summer/winter, PG&E, EV-A) and 11pm-7am is .12/kWh. This can mean a savings of about $500/yr for the average commuter to stay out of the high TOU times.
The EV TOU Bonus!
There is an added bonus, which you can get as an EV owner. Switch to the EV TOU plan. Now, program everything you can (pool pump, washer, drier, dishwasher, etc) into the Super Off Peak late night window. For many people, this change will charge your car for free, an $1,100 a year savings.
Free money once you figure out how to access 240v power. It can be as simple as creating a 10 ga extension cord that feeds off two circuit breakers on opposite sides of the panel, or as expensive as heck. I do my own wiring (shock therapy), so it doesn't cost me much to rig 240v. I have four 240v outlets for EV/RV charging at home.
If you are worried about doing your own electrical work, some California utilities (SCE is one) are paying the costs of a professional L2 installation. But it must be a licensed contractor and have a permit pulled.