Train services still suspended between Takayama and Toyama
There is an update and it's been 19 days since the original post, so I'm making a new one.
Due to scour damage found in a bridge inspection you CANNOT travel between Takayama and Toyama directly by train, either with the Hida Limited Express or normal trains on the JR Takayama Line. Service is suspended between Sugihara and Inotani stations. Nobody knows when it will be resumed, so asking here is pointless. Though it's safe to assume that it will take a while since we're talking about a bridge. Check the official website.
Substitute buses are now in operation for that section. But they have much fewer seats and they might be delayed by traffic. Check the website for more info, or ask at a JR office.
https://traininfo.jr-central.co.jp/zairaisen/train_information.html?line=10004&lang=en
https://global.trafficinfo.westjr.co.jp/en/express
My advice: book a highway bus between Takayama and Toyama or go through Kanazawa and get a full refund from JR.
Also, it would be cool if the people that read this post and traversed the section, posted what transport they used, if and how they got a refund, etc. for other travelers.