Piggy Can your DD do a taster day at school? I can’t comment on the particular schools but thought I could chip in with some experience of state and Indy in my family.
Things the Indy does better in our experience:
Better food, more of it, better organised lunch times with sittings and staff eating in dining room.
Better healthcare, nurses fantastic at assessing and treating minor ailments (maybe because it’s boarding and day?). Local state can’t give a paracetamol.
Calmer. Calmer in class. Smaller school with more quiet spaces and calm activities at break and lunch (may not matter to your DD but great for my DC).
Better singing and music. The state school has great music groups too but relies more on teaching arranged by parents I think.
Exercise and sport- much more on offer for everyone and just more PE in the timetable.
Can teach off national curriculum.
Homework better planned and teachers reply to emails from DC if clarification needed.
Fewer supply teachers.
Loads of high quality clubs and activities. We are spending much less money on extracurricular stuff for DC in Indy than we did on DC in state. You may find you will claw back some of the 5k in doing less.
My nephews are at SS grammer my SIL gets frustrated that they feel they are bad at subjects that they aren’t best at when actually they are good.
Does the bursary cover trips? We told our DS that he couldn’t go on expensive trips. He looked at website and noticed that few people go on the exotic trips. We just couldn’t afford expensive trips on top of fees whereas the DC that went to state did do school skiing etc. So far he doesn’t mind and there are plenty of families that have same approach as us.