Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
Taking the photograph of your private parts and sending it to your wife is not permitted since others might see it. Above all if other people carry out the process of developing the picture then it becomes Haram at first hand. The Prophet (Sallallahu Alaihi wa Sallam) said: "Conceal your Awrah except from your wife or your slave woman." [ al-Tirmizi ]
Also, the picture may arouse your wife's sexual desire while she cannot satisfy it through Halal way so, it may lead her to many other bad deeds such as masturbation or looking at Haram etc. Therefore, we strongly advise you to bring your wife to live with you or you return to your wife. Living apart from each other in this situation is not allowed since both of you are subject to temptation. Know that anal sex or having sex during her monthly period is forbidden even if she is interested in it. The Prophet said: "May Allah curse the one who practices anal sex with his wife." [ Ahmad and Abu Dawood ].
Finally, you should not allow the devilish insinuations as long as your wife is a faithful woman. We advise you to read the following Fatawa:81556 and 81608.
Allah knows best.