It's an annoying tradeoff: if you want something that's liquid at 600C, it pretty much either has to be a metal, or heavily pressurized (i.e. the PWR, the pressurized water reactor everyone has converged on).

Or you go for a gas. But then you're not able to use water as a moderator, so it either has to be a "fast neutron" design (which the few liquid sodium reactors are) or use a graphite moderator (flammable, lifespan issues with neutron cracking).

The unexplored corner is https://en.wikipedia.org/wiki/Gas-cooled_fast_reactor : plumbing is "safe" apart from being incredibly hot, but you still have to deal with fast neutrons smashing up the reactor from the inside on an atomic level.