Kim
I'd choose the one my dc were best suited to.
We moved to an area mid term and it was a full school year. One of my dc gained a place at the local community school there wasn't a place for ds2.
This was many years ago so not sure what it is like now, but ds2 was eventually offered a place at a Catholic school. We aren't catholic but had that choice or ds2 stay at home. Looking back now I wish we had H.ed but that's another thread.
He stayed there until a place was available at the community school, next door.
We completely embraced the school life, the worship, mass etc. Although we didn't attend church.
I didn't call for the removal of faith schools because my ds had no choice.
Of course we all want choices and I fully believe we should all have the school we wish.
If the academy only admitted people with a certain income and it was above ours, I'd get over it, and be happy for those going there making space in a more suitable school for my dc.
How entitled to suggest one would be upset 
Our more recent choice in our dd education is removal from school to H.ed because we have choice.