It's impossible to tell what a school will and won't be like from their SATs/GCSEs results (esp secondary, so many not reporting them in full/at all, and with NVQs etc not counting towards percentage of pupils attaining 5+ GCSEs!!!).
We moved for school (and a garden). We thought the schools (currently DD in infant only, DS in junior only) would be good here. It turns out that their OFSTED is only 'good' for a reason. They barely have any idea of what a gifted child is let alone how to do anything with them or how they can stretch them to achieve their potential. The school has no spare funds cos they are stretched to capacity (120 kids per year entry) and literally within a week of one child leaving another will take their place! Their resources are pants. Their teachers are unimaginative and uncreative. The kids are being served death by boredom!!! Our school concentrates on working towards government targets ie getting everyone to attain the minimums. Top attainers get forgotten and left to their own devices cos they have already met the minimum, with most focus put on dragging bottom ones up!!!
DS's nursery unit within an infant school near our old house was fantastic. Despite having something like 87 languages spoken by the children attending and having over 80% of kids with English as a second, third or fourth language they all worked hard. No idea what their OFSTED was or their results but their community atmosphere was amazing. Being a considerably smaller school (only 30 intake), everyone knew everyone. Their ratio of staff to kids was high cos of the language thing. Sometimes I wish we never moved!
A friend (kids in same classes as mine) is Russian, her two have Russian as their first language. Her DS couldn't speak when started YR and barely said anything in rest of infants tbh. They have since discovered it is a speach problem rather than the fact he had ESL. Her DD is extremely clever and is up near the top of the class, plus she speaks/writes/reads English and Russian. Foreign learners in my experience aree very varied!! I know others whose parents have no desire to learn English therefore the only input their kids get is at school!!!!
OP I would suggest going to the school (with your DS) at school coming out time and seeing what the kids faces look like and see if you can chat to a parent or two about what they think of the school. Sounds a bit odd I know but you might get a slightly more honest opinion!
It seems a little off that you have not got any of your 3 choices or your catchment school! We were recommended by our council to make sure one of our choices was our catchment school, probably for exactly that reason! And 3 miles is a trek when you are working FT, are they offering transport???