But children need to go to school together IMO. I know this is off subject, but if my children didn't all go to the same school, it would be a nightmare. We are borderline to one of those schools, and got our eldest in via the waiting list in June a few years ago. I was going to homeschool until a place came up, after going through the appeals process. I also wrote to my MP, the Leader of the Council, and probably David Cameron as its a Tory borough.
I agree that the process isn't perfect, but when you have more than one child its a massive sense of relief not to have to go through this process with each one.
However, not being offered a place anywhere is simply not acceptable.
Saying that, we're moving and I am back at the beginning trying to get all of them into one school, or, worse case scenario, 4 different schools.
My advice is stay on the waiting lists and be prepared to homeschool or move your child during term if you want one particular school. It may be disruptive in the short term, but IMHO, worth it - more so if they have younger siblings, or you are planning more children. Many parents will commit to schools before the start of next term, or move away during the Summer. Some people don't even bother to tell the school they aren't taking the places they have accepted.
It isn't without hope. But you do have to hold your nerve. Swaffield is good school with really good results, and being 7th on the list is positive. Honestly.
Good luck.