An application for nuclear ships or barges could be emergency response for storms/hurricanes. Nuclear icebreakers make sense, Russia is the only country using them, they currently have several but aim to increase that fleet to thirteen. Russia also operates a nuclear barge that supplies power to the Chukotka Peninsula. There are a lot of newer SMR designs that could work but probably not sodium cooled if you remember your high school chemistry class demonstration.
5 Things You Should Know About Nuclear and Maritime Shipping
https://www.energy.gov/ne/articles/5-things-you-should-know-about-nuclear-and-maritime-shipping
A little serendipity I ran into this article not long after posting the DOE notice.
Interview: Core Power Sees Marine Nuclear Power at $500/mt in fuel oil terms
https://shipandbunker.com/news/world/225505-interview-core-power-sees-marine-nuclear-power-at-500mt-in-fuel-oil-terms