So either you restrict the amount of solar that can be produced or you subsidize the Nuclear prices. Both solutions are increasing prices for idiological reasons. If we do that might as well invest in solutions that are on exponential trajectories, like solar and battery.
The whole baseload argument when talking about renewables is a strawman. Both intermittent (like solar and wind) and constant output (like Nuclear) are baseload technologies, despite working very differently. Both require over provisioning, on demand sources or storage. It does not make any sense to bet on a solution that despite significant subsidise over almost 70 years has failed to produce any exponential count reduction, if the other solution is on an exponential curve right now.