Not at an SS, so cannot offer that kind of help.
But am familiar with the Admissions Code, and that you need a UK address to apply from (for day schools and day places at state boarding schools), And I thought it might be helpful to OP to be aware of a potential pitfall in how applications are made. Because OP said she was hoping to secure a school place (anywhere) and then only take steps to move to the area once she had an offer I was concerned that she might not be able to apply at all, as all applications go through your home council. With no UK address, which do you use?
I didn't think that the right to an education in the UK meant you were treated differently under the Admissions Code.
If of course she can move between getting the scores and the applications deadline, then this is a non-issue, but possible timings weren't terribly clear to me.
And I did try to find the linked guidance, but as it clicked though to the front page of the whole departmental websites, and I could not find it. I had been hoping that someone might know which guidance document/s they are, because with a name I might stand a better chance. So yes, still interested and stil, hoping for help.
(Also posting again to bump, in hope that prh might spot the thread, as he's usually got all this at his fingertips).