Joe is lost forever, unless…
Let us assume for a moment that the aliens have transported Joe to their home world and by coincidence it is only 200 Light Years away from Sol. Within a 200 Light Year cubic volume near Earth, is approximately 32000 stars. Joe is not going to know that any given binary star might possibly be Alpha Centauri because it is 4.2 LY away from a G2V star, simply because the database available to him will not contain understandable stellar classifications, nor will it contain understandable distances. Joe may recognise that he is somewhere in the correct place near the end of the Orion Spur. Now if the alien home world is further away, let us assume that Joe can find his way back to the Orion Spur, he is still going to be hopelessly lost at that point.
The Pioneer/Voyager Maps
There is one possible way for Joe to find his way home, and that is by triangulation of the signals from Pulsars, as shown on the Pioneer Plaques, but again, that poses its own unique problems.
Maps on how to find the Earth were attached to the Voyager and Pioneer probes.
Does Joe have a photographic memory, and has memorised the map? Or when Joe was abducted he was carrying a book containing an image of the plaque?
Not only are the periods of each pulsar encoded as binary, but the approximate distances to each pulsar are drawn on the maps. Now, the pulsar periods are not only in binary, but the time intervals are specified on the Plagues in terms of hydrogen, so Joe could use the Ships computer to translate this into the Aliens time intervals.
Joe could pull up the list of galactic pulsars and triangulate to find the approximate position of the Sol system, and this will give him a position within tens of light years. Further triangulation can be made by looking up the nearby Supergiants and identifying Betelgeuse.