It's not impossible to get to any of the road - but you will need to procure your own boat as there are no ferries.
With it now being up to two holes in the road, it is now seemingly more likely it will never be fixed and reopened - there is no real reason to spend eight, possibly nine figures on it when it's a road to nowhere and the locals in Cordova are adamantly opposed to any proposals to make it a road to somewhere.
My understanding is there are no shields anywhere between Cordova and Childs Glacier (Oscar, correct me if I'm wrong), so I'd be fine with just 86ing the whole thing from the HB on such grounds.