I suspect I’m wasting my breath, because this is a thread for you to justify a decision you’ve already made.
Anyhow, all 3 of mine went to a very normal (but lovely) state first school, whose wrap around care could be booked on a very ad hoc basis as and when we needed it. In 8 years of using it, they never once said no. During that time they could chill out with technology, play games, have sports coaching, do crafts, or just a snack and a cuddle if they needed it.
After that they’ve moved up to a very normal middle school in which they stay every single night (free of charge) for professional coaching in hockey, rugby, cricket, athletics, tennis and a plethora of over sports. They also have free daily access to music clubs, art workshops, chess etc etc etc.
I literally couldn’t have paid for a better education for them (all 3 doing well academically and socially) and at the end of the day, they play outside in the street with their best mates who all live around the doors, instead of being flung all over the region as mine were when I was privately educated.