Definitely try brownies or one of those where they can have activities to bond over.
I am pretty sure play dates are quite a recent obsession, but that might just be my experience. Personally at primary school I was ostracised most of the way through due to differences in accent and background ( it was a really small village school), plus my home was up on a massive hill out of town, my mum was on her own most of the time, so what with one thing and another, no school play dates. my real friends were “home” friends, met out of school. We are still great friends today, I’m happy to say. Secondary school was loads better as we moved area and in a bigger pool it’s easier.
are there any well-frequented local parks or playgrounds? most of the time seeing my child’s classmates out of school happens accidentally because there are local playgrounds and often the kids will bump into each other ( sometimes literally). you can see how they interact, exchange a bit of chit chat with other parents, get a spot of coffee, and all without the looming shadow of the school gates, which is often helpful in getting to know people. Then you end up making plans to meet up same time same place, especially in holidays when everyone is looking for stuff to do.
not every parent likes play dates, which is one reason they might be hard to secure. I am unwilling to let my child be at someone’s house if I don’t know the parents. I’ve done it once and they had a great time, but it was against my instincts and I won’t be doing it again any time soon. For various reasons there’s lots of psyching up involved in having school
people round to our house. The kids love it, but I find it quite a lot, so admit I do often steer a bit clear unless it’s unavoidable.
Oof! So far, so freaking torturous. most of the play date quandaries seem to be about parents.
It’s extremely rude of them not to reply to you. I don’t know why anyone would just not reply, and that must feel horrible.
At the end of the day,play dates aren’t the be-all. If your child is happy at school and the teacher has specifically looked for and found no problems, please try not to worry too much. If your child is unhappy about the lack of dates, after school clubs or out of school activities might be the places where kids can get to know each other in a different context, with shared interests.
Sorry this is a bit of a ramble OP, very good luck.