As a side note, every time someone points out the shortcomings of nuclear power plants (not easily adjustable, huge investment costs/expensive, storage ...) there's the replies about, "but those new future plants that we are researching will solve all this". We don't know if reality will actually deliver on those promises (nuclear has quite a history of broken promises), especially if we are talking about acting fast.
To your second point: all technologies have the property that we can't know for sure if they'll deliver on their promises without trying them, and the very reason we don't know in the case of nuclear is because opponents of nuclear power undermine attempts to try out novel architectures, pointing to limitations in current technologies as justification.
That's true of current nuclear, but it's not an intrinsic property of nuclear power. Proposed plants that use molten salt as a working fluid, for example, give you the option to run the plant all the time, but at any given time either use the heat in the molten salt for power generation immediately, or move the molten salt into a storage tank for later use. Molten salt is already used this way in concentrated solar plants, and works fine for that purpose.