My entire lab is wireless, I'm completely disconnected from the grid except for the ground. It's true that when I turn on the old HP spectrum analyzer, the frequency has a hard time keeping up, it goes down to about 57Hz from 60Hz, but it's not too bad. The entire lab when everything is turned on, takes less than 400W however.
I tried the same thing with the fridge but it blows the fuse, I'm not there yet (inrush current). The lab is ok.
I can't wait to see your idea, then I'll post mine.