OP, I am not surprised that your head is spinning. Of the 283 independents schools in the UK that have a boarding community, there are 279 that are open to girls.
If you consider only schools where more than half the pupils are boarders, you would still have 95 schools to choose from for your DD if you are not limited geographically!
Thank you for starting this thread, the discussions have been very interesting and useful to me. My head is also spinning with trying to make a similar decision. As it is not possible to visit all schools that are on my long list, insights from others are invaluable.
I have managed to download a dataset on all 520 independent secondary schools in the UK that includes all sorts of interesting information including % of boarders at the school, % exit to Oxbridge/UCL, % of girls, number of pupils, etc, as well as nearest town and fees.
I have used this dataset to rank the schools by the size of the boys boarding community, which was a very useful exercise for me.
I would be happy to share this spreadsheet with you if you are interested, you would have to PM me.
The quality of the food - or even the way it is organised - is unfortunately not one of the variables that is recorded.