I am unaware of any nuclear electricity storage needs. Wasting extra electricity is trivial, while last I calculated you'd triple electricity costs due to storage if you switched the UK to wind power.
So what number did you get for nuclear when you did these calculations? With no storage you've got to be talking something like 20x for nuclear, right?
> The most important use for pumped storage has traditionally been to balance baseload powerplants, but may also be used to abate the fluctuating output of intermittent energy sources.
For switching entirely to current gen French nuclear (rather than the MUCH cheaper 1970s plants) it was something like a 30% increase in consumer electricity costs.
Basically, you can just have make your "baseload" the amount you want at peak time and sell the excess electricity for basically nothing to industry. This is obviously a bad idea and you'll want some storage instead, but it's much less than what you need to last through a calm but cloudy week.
I very much encourage you to look up numbers for various storage types and energy sources and make a few models. It takes a few hours but its pretty interesting (I should really take it from my hard drive at home and put it on a blog somewhere...).