Even a handful of articles about planning applications being declined is not evidence of your prophecy of significant price increases for solar and wind bound to show up, or just "big challenges" as you put it as indistinctly as it is unlikely.
Renewables are competing against nuclear power for finance and resources and nuclear is competing against renewables. Nuclear is never economically dispatchable, it does not compete for demand only while renewables are low, and renewables do not want to split supply with nuclear. They are competitors. So taking about astronomicals shouldn't fool anyone otherwise, but at this time its all the idea of cheap clean safe nuclear future has to run on.
Nuclear plants need sited away from population centers and on top of significant water sources and in regions where their local heat output will not excarbate problems of heat waves. They also require permanent protection in periods of national unrest since the costs of accident and sabotage can be astronomical
Solar panels and windpower will continue to get cheaper to buy and install, batteries too. Oceanic wind, solar and syn-gas rigs are a far more desirable and attainable long term development goal than a further generation of hundreds or thousands of water boiling top security nuclear plants for the fuel and power needs of the developing world.