Why use fossil? I would oppose that. Nuclear is the best option even if pollitically incorrect. But the 'soft alternatives' such as wind, solar, tidal etc. which due to their unreliability and geographic limitations are useless baggage for the power grid could be very viable in an H2 production mode.
Yes, best of a bad lot, but still not good. Nuclear is relatively cheap when compared to CT and coal, not free. Is spending the huge amounts of energy required for electrolysis of water to produce h2 in the necessary quantity a good use for the resources? Remember, there isn't any reserve nuclear capacity now. The country's nuclear generating stations mostly run at capacity now because they are the cheapest units except for hydro. So either another 200 - 300 nuclear generating stations have to be built along with the industrial structure to produce and distribue H2 on a commercial scale (Couple of trillion $$$?), or you have to get the electricity for peaking units which burn fossil fuels already and make the conversion much more inefficient than the "reforming" from methane.
H2 as a practical vehicle fuel is a pipe dream for some politicians and Sierra club types who confuse science with science fiction. The politicians at least understand that H2 can cynically be used to transfer wealth from the already overexploited taxpayers to their buddies in the corporate world.
BTW you didn't answer whose money you wanted to spend to play with this concept.