Fee paying schools in Coventry area

[ShanghaiDiva]

We are moving back to the UK in June next year and thinking about schools for dd who will be going into year 10. I assume we won't have very much choice on state school allocation (happy to be corrected if this is not the case!) and am looking at fee paying schools too as a plan B.
We don't have anywhere to live at the moment, but looking in the Leamington/Coventry/Warwick area. Does anyone have any comments/experience of the following schools:
Bablake
Kings High School
Henry VIII?
Dd is very sporty (swim squad and plays touch rugby, volley ball for school and keen runner) and also good academically and vg at maths.
Thanks!