Hi OP. My dd9 has ASD. We also have DD7 who is NT. They play nicely together sometimes but other times squabble.
2 days a week she's at the childminder's til 5. On the other days, usually she comes straight home and watches TV/IPad. We're both wfh until 5ish so can't supervise homework or anything. One day a week she has swimming lessons.
From 5: TV until dinner time at 6.30, play outside / crafts then bath sometimes and bed at 9. She reads or draws in bed on her own until 10 most nights.
DD would happily go to the park after school to see friends but we are working and can't take her.
Clubs have been difficult for my DD as she struggles with verbal instructions. She didn't get much out of Rainbows so we pulled her out of that. We persevered with swimming lessons by doing about 18 months of 1 to 1 lessons. She manages in a group class now - however it's only level 2, below her little sister, and the others are younger so she isn't very happy. She's a really strong swimmer but just can't perform like she's supposed to.
Does your DD like being outside at all? Mine gets fed up of playgrounds and does not want to walk or explore, but she will bring a book or drawing stuff to go and sit in the park / woods and at least we can go somewhere different and get some fresh air. We go locally and often bump into her classmates which is a good opportunity for interaction.
It has taken DD a long time to be a bit more independent and now she does go to her bedroom to listen to music / read / draw, but she's 9 now and it's only recently she's done it. She uses her Ipad for drawing and Audible - she'\s not allowed to just watch loads of TV.
I', not sure that's helpful, but we have found it exhausting trying to manage / entertain our DD - it is definitely getting easier now she's 9 and more able to entertain herself but it has taken time, so don't lose heart.