Carbon nanotubes can be either conductors, insulators, or both (depending on direction).
If you're going into 3-D construction, what you need are superconductors of heat to embed into the chip with connections to outside. (Yeah, reducing internal resistance also helps.) Interestingly, most superconductors of electricity are also superconductors of heat...so what you need are high temperature superconductors, where high temperature means something around 100C. I've seen claims that graphene is a superconductor (in some configurations), but I don't believe them. Perhaps black phosphorus is. Or something else.
Don't expect to see any of this within 10 years.