At some point you have to accept that all energy sources have drawbacks. Besides not making a whole lot of sense, this particular objection is pretty small potatoes compared to toxic fogs that kill people by the thousands, or other fossil fuels that appear to be altering the climate on a planetary scale.

No, the existing storage pools at nuclear reactors provide a long-term buffer that can smooth out any irregularities in shipping. After all, there already is such an irregularity.

Once you start shipping the waste again, it's not really all that difficult. It's transported in containers which are essentially indestructible.