As a parent I would look at the Ofsted report for the school as the key deciding factor not it's denomination. In the UK Cof E schools may hold religious assemblies and plays with christian themes but generally the focus is on ethics and principles.
My children both attended Cof E schools and although there were some activities they could not participate in the school was very helpful about offering alternatives. I worked closely with the school to ensure I was available to sit with my children if needed and found that this helped to ease communication whilst we were still witnesses.
If the school is 2 doors away how fantastic is that, no having to deal with parking and waiting, no mad rush in the morning to account for journey times. As a mum that would be awesome I spend an average of 1hour per day on the school run.