Hmmm, in theory, it seems like overbuilding Wind/Solar might work.
Solar continues to generate electricity on cloudy days, its just diminished. Wind works from 5mph all the way to 50mph or so, it makes less energy on 5mph days but the wind almost never truly stops.
Overbuilding Solar/Wind to make up for this however, would cost significant amounts of money. Batteries would be best for storing the excess energy, but maybe other plants (ie: Aluminum manufacturing) can also be used (variable amount of Aluminum based on energy demands).
Both Solar and Wind can "ramp down". Solar panels can safely generate zero-power if you prevent current from flowing. Wind turbines must continue to move, but you can slow down wind turbines by controlling the angles, and grossly "ramp down" the energy produced.
As such, it is safe to overbuild both solar and wind plants... and later "ramp down" if the grid gets too hot.
-----------
But overall, I agree with you that nuclear seems like the simplest solution. Its a shame that the world in general is afraid of uranium. Despite the geopolitics involved, I really do think its the simplest solution to worldwide energy problems.