So buy a level-2 charger. The payback period would probably be only a little more than your lifetime . . .
Yeah :\
I once called our local power company (here in eastern Kansas) to ask if they had a off-peak or night-time rate. The woman I talked to didn't even know what I was talking about. *Sigh*
I'd rather have your cheap default rates than these insane ones with "off peak" meaning, "sleeping" hours

I pay 21c -> 28c right now (43c if I go over 400% baseline usage) per kwh and switching to TOU would mean 12c cheapest but only when I'm asleep, and 20c-33c the rest of the day/night. So sure I might save a buck charging, but I'll be paying it out during the rest of the waking day. Its absolutely ridiculous there is no competition..