Is there a battery technology that can store 90 days worth of full-plant production (which doesn't require a second generator consuming a fuel later)?
All the ways I know of on that scale actually require a second plant/turbine -- in which case, you didn't store 90 days of solar production capacity, you actually stored 90 days of the second plant's fuel, which you produced intermitently with solar capacity. (Which can still be a very good and environmentally friendly thing to do! But isn't what we're talking about as a technical point.)
So solar panels can't stock a reliable X day supply, even if over any (moderate) period of time, they have a very guaranteed supply.