What is the earliest story or book combining technology for FTL communication with a lack of FTL travel?
I first remember encountering this concept in Orson Scott Card's Ender's Game:
("Ender's Game"): After the war, when Valentine meets Ender and tells him that she will be going to the first colony, Ender says "It's fifty years to get there". Her answer, "Only two years if you're aboard the ship".
("Speaker for the Dead"), "Lightspeed travel", and later, on the trip to Lusitania, it is mentioned "the only task was to calculate how near to lightspeed the ship was traveling".
The ansible, however, provided near-instantaneous communication.
I then encountered this in Ursula LeGuin's Hainish cycle. The Hainish cycle predates the Ender series, beginning I believe in 1966. (As a matter of fact, Orson Scott Card mentions that he got the idea, and the 'ansible' name, from the Hainish cycle. See http://www.hatrack.com/questions/ and search for "Hainish".)
It seems to me that this creative combination would have a unique effect on the world/universe being described, culture, etc., as the dynamics of instantaneous (or, almost) communication, but needing years to get to different star systems (and the relativistic effects thereof) are quite different than either FTL travel & communication or STL travel & communication.
Since what I find unique/interesting about this is the unique influences this would have on culture and so forth, I would consider accepting an answer where this combination (FTL or instantaneous communication with no FTL travel) existed in the world/universe for a significant amount of time (enough to influence the culture significantly, say, a few generations at least), and FTL travel was discovered later (and the book or series explores the period before FTL travel, rather than mentioning it as a historical tidbit).
We have seen in my earlier question that there are some very interesting earlier examples of a similar dynamic where the communication is telepathic. I am also interested in finding earlier examples of this concept where the communication is solved by a technological breakthrough in communications, which is not matched with a similar breakthrough in physical travel.
Were there earlier examples of this than the ones I mentioned above? What (and when!) is the earliest example?
NOTE: OSC mentions (same source as above) that he encountered this concept in a short story where all messages were preceded by a beep, which, when analyzed, turned out to contain all messages ever sent by this method, past and future. This story appears to be identified in this question, as the 1954 James Blish story, "Beep". However, I have skimmed parts of the story and they did actually have FTL travel; the similarity is that FTL travel still took weeks or months while the Dirac communicator was instantaneous.