Part of the premise of the criminal justice system is supposed to be that the system is designed to occasionally fail to punish the guilty if it protects the innocent. That's often expressed as, "it's better to let 10 guilty men go free than 1 innocent man go to prison."

You might just have to accept that you can't always be completely sure that someone's internet usage is sanitized. Could they reoffend awaiting trial? Possibly. Same as letting an alleged mugger walk the streets until trial or an alleged rapist be around women. Innocent until proven guilty means that, as it stands right now until a verdict otherwise is returned, an innocent man and his family are having their right to use a very basic feature of modern existence, the internet, infringed upon.