I doubt building hundreds of kilometers of leak proof pipeline, for the smallest atom in existence (no less than that) would be that cheap. If you have data on that you are welcome to post them.
On the other hand we already got a pretty robust infrastructure for electricity transport (except maybe for Texas, but that’s another whole story), and adding more isn’t that hard. Take some copper or anything conductive, make a cable out of it, install on a pylon or underground, and you are set.