I think taking US-97 to Nome is a little bit of a stretch. Even if you had a paved road, it's something like 500 miles between Nome and Fairbanks, right? I'd rather you assign an even number at that point. (How about US-0?)
It looks like it takes US 395 from Alturas, CA all the way down to San Diego, then enters Mexico at Nogales after following what remains of US 80.
So basically it would just have US-97 replace US-395 south of Susanville and then follow its 1969 alignment or so. This is how I have reworked US-97 for my California renumbering. Although Alturas is farther north, so it seems like it would have involved US-97 taking over a portion of OR-140 for a while eastward, and then move onto US-395 from there. Interesting.
Oh, I should have checked the map instead of guessing. It would have taken over US-395 from Susanville to Alturas, then taken over CA-299 from Alturas to Canby and replaced CA-139 and OR-39. That actually makes a bit more sense given CA-139 isn't as good a route as US-395 through Modoc County.