Lue-Yee has a provocative post on how to integrate Morning Prayer into the working day here.
If family be a hindrance, then maybe family is the key as well. Working parents with schoolchildren know the experience of droping off the kids at school before work and picking them up at the end of the day. If drop-offs happened in the same place as Morning Prayer before work, things could be a lot easier. If parents could go to worship with their children in the morning and not have to take them some place else before work, they could have more time to grow together with their families and have a time to be still before God and peacefully to entrust themselves and their children to his mercy.