Nope, you can't make synthetic fuel at anywhere near a competitive price from electricity. To make a synthetic fuel, the major energy input is heat (yes I know, you use electrolysis to crack the water, its a minor part of the energy required). The only way to make a cheap synthetic fuel is from a nuclear reactor that produces heat in the 900C range (could be 700C or 1100C, but near there). You can't do that with solid fuel reactors, you need a liquid fueled reactor for that. And you need Thorium for a liquid fueled reactor. That's why this design is so popular.
Nope, you can't make synthetic fuel at anywhere near a competitive price from electricity. To make a synthetic fuel, the major energy input is heat (yes I know, you use electrolysis to crack the water, its a minor part of the energy required). The only way to make a cheap synthetic fuel is from a nuclear reactor that produces heat in the 900C range (could be 700C or 1100C, but near there). You can't do that with solid fuel reactors, you need a liquid fueled reactor for that. And you need Thorium for a liquid fueled reactor. That's why this design is so popular.