HYLIFE is the name given to a family of self-healing liquid-wall reactor concepts for ICF (inertial confinement fusion). This HYLIFE-II concept employs the molten salt, Flibe, for the liquid jets instead of liquid lithium used in the original HYLIFE-I study (Blink, et. al., 1985). A preliminary conceptual design study of the heat transport system and the BOP (balance of plant) of the HYLIFE-II fusion power plant is described in this paper with special emphasis on a scoping study to determine the best IHX (intermediate heat exchanger) geometry and flow conditions for minimum COE (cost of electricity).