The grid is sized in kilowatts, not kilowatt-hours. With time-of-use pricing that cost-conscious farmers will definitely take use of to charge batteries while the price is cheap, the grid can handle a lot more energy than most think.
And local solar is a lot cheaper than grid expansion. Pretty much every farmer I know is putting up solar already. And they need the energy in the spring/summer/fall while the sun is shining, they need much less in the winter or while it is raining, so it's a good fit.
I agree with you about synthetic fuels. I predict that in 10 years time or so they will be price competitive with fossil fuels, but massively more expensive than electricity.