That said, the strongest arguments for nuclear power has always been as part of a balanced energy diet, not as the off the shelf answer to everything. So, how do we figure out where it's appropriate and where not?
Properly price carbon, and remove all distorting subsidies to all forms of energy, from fossil fuels to solar to wind to nuclear. Then let the market do what it does best: figure out the best way to allocate capital to produce goods.
Nuclear certainly needs proper regulation and safety requirements, but contemporary designs are much lower risk than the Fukushima reactor from the 1970s or the ancient design of Chernobyl: despite that, they're nearly impossible to build. I've heard it wouldn't even be allowed, in the current regulatory regime, to replace those old plants with new ones. Something's broken there.