http://www.algit.eu/index.php?option=com_content&view=article&id=71&Itemid=86 Download and play.

Would be visible most of the year, near the Sun's disk. Due to the ellipticity of the orbit and non constant orbiting velocity. Only twice a year, on June the 21st and December 21st it would be well hidden. Soon after it would rise behind the Sun and would be clearly visible at least at most solar eclipses. A near perfect circular orbit would permit the hiding game of two co-orbiting planets.

Well ... avoid at least one of them! Best wishes from EU.