I agree. I tried sending the track to the Inbox. It does store the artist and track name there, but it removes the station from your list of radio stations, and if you delete it from the inbox, then your station gets deleted, too.
What I do is send it to the Clipboard, then open a doc on my computer and paste it. It takes a few steps, but it works.
BTW, to send the track info to the Clipboard, right-click on any empty space on the playback bar, then select Send To... Clipboard.