I get why yout're agonising - it's because there's a difference between how you think about schools when they're a 'maybe' and when there are a actual offers,a nod you move up a step from mulling possibilities to actually choosing options.
First thing is to try to discard general perception and perceived parental bragging rights (surprisingly pervasive, even when you think you don't hold them). Secondly, what does your DD think, and why? Because she's the one who has to live this choice. Thirdly, take a hard look at what the school run is actually like during morning rush hour - what would it be like for DD with backpack and sports bag?
Then think about whether, with the bursary, you can afford the independent comfortably enough. Day uniform is often much the same price as state, but there can be oodles of sports kit (not all of which is fit after use to pass on to the second hand sale)
And also things like range of subjects (including at A level, no matter how distant that seems) clubs and activities. Recheck that you are happy with the pastoral systems
(I'm assuming the academic standards of both are good).
Atipipipi- I suggest you start a new thread, because your completely separate issue will get overlooked on this one