Preventing Child's Father From Posting Photos

A bit of background: my unborn daughter's dad has been MIA most of my pregnancy. When he has been around, it's been wrought with games, gaslighting (look it up if you don't know what this is- it'll take too long to explain), and complete disrespect. He has not put a penny toward making sure she has diapers, clothes and other necessities prior to her birth, whereas I have spent thousands doing so. He has already expressed that he will not be present when I am in labor and delivering her, and will come see her after she is born. I have a restraining order against my son's father for extreme amounts of domestic violence, and because of that, have kept my life - and social media - incredibly private. The only people who I allow on my social media accounts are family and very close friends. 
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Now my current dilemma: he is incredibly active on social media, to the point of it being obsessive. He pays to get followers and likes, promotes his Snapchat, twitter (where he posts minute by minute updates of what he is doing), and YouTube to get more followers. This clearly leads to the fact that he has people following him, as well as who have access to his social media accounts without any sort of idea of who they are. We are not friends on any sort of social media; he has blocked me and removed any mutual friends to prevent me from having access. Granted, I can see his public posts as you do not need to be a follower to view public twitter and Instagram accounts, but that still does not alleviate my concerns. 
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I am torn with what to do when it comes to when he comes to visit her. I want to forbid him from having his phone out and taking photos, if he is intending to post them on his public sites. If they were private, friends and family only, I would not care. But because not only I do not have any access or idea as to who is following him, but HE also does not know or have any idea, it terrifies me. Not only because it opens up the possibility of my son's father locating my daughter, but also will have my daughter paraded around for the world to see. I will be going to court to file for custody to ensure protection is set, but this does not do anything to prevent photos from being posted. This simply will ensure he is unable to take her and run. 
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Am I wrong in this? If I am not, what would be the best way to ensure this does not happen? Thanks in advance.