LaQueen, in an area where there are no grammars, where do you think the really really bright kids go? Academy Outer Space?
They go to what you call the 'local comp' (why are grammars in all-grammar areas not called 'the local grammar' in that dismissive way, I wonder?)
In my DS's S London Comprehensive School there are children who are astoundingly bright. Super-selective, brighter than bog-standard grammar fodder. And a representative % who are very bright. Routinely the top set kids go to RG Unis and Oxbridge. (it is an area with a very high FSM %, too). There is also a representative number of kids across all ability bands. So the GCSE %'s are not as high as a grammar's would be. Obvious.
But there is absolutely no sneering or tormenting of clever kids, the solo violinists in the orchestra, the boys who perform in the award wining dance group, the sensitive boys, the non-fashion-toting girls....
I sincerely hope that the OP's dd ends up in the school where, for whatever reason, will be best for her and she does well.
But please let it not be based on outdated scaremongering about the horrors of the 'local comp' unless you are commenting on a particular known school and cohort.
There is a private school near us where a child recently committed suicide due to bullying and FB comments about weight. Numerous pupils have eating disorders, it is an acknowledged problem in the school. I wouldn't dream of making sweeping generalisations about all private schools and what they are like based on what was happening in this one.