The new search functionality seems great! Assuming that you are running your own Nominatim instance, is it possible to make it work with road relations (like https://www.openstreetmap.org/relation/17031856) so it shows the whole street and not it’s 100 members? waterway relations are already shown, I assume that it won’t be a very hard task.

https://osmybiz.osm.ch is the editor that your are looking for.