I’d say most of the OP's points of contention are, in fact, well within the bounds of 'normal' within childcare. And without wishing to get into the futile nursery-versus-childminder debate, that goes for both types of care.
There are some things mentioned that, ok, are a bit disappointing, but I don’t see anything worthy of withholding payment for the notice period.
We also have to bear in mind this is only one side of the story, and a heavily skewed view at that. You may choose to use language like "dragged along....... to school"; another parent might be delighted their child gets some time out of the house during the day.
No, I don’t thing Frosties and tv are ideal. But neither are they a sign of "substandard care". If that were true then a lot of mums would be getting a call from social services.
Free play or 'activities' come down to personal philosophy and choice. There is a huge debate over this. In just the last decade there has been a shift towards more adult-led 'activities', but many fear this is a political thing aimed at 'dumbed down' children, used to dull regimentation and institutionalised ready for state schooling. Personally I would opt for any childcare provider who still has sufficient faith in children to favour 'free play'.
As for paying well over the odds, how much exactly are you paying? For the record, how much do you think the care of your daughter should be worth?
As mentioned previously, it doesn’t sound like a CM is for you. Perhaps a Nanny, because you then employ them directly and can dictate terms of employment. That’s if they accept, and you’re prepared to pay the going rate plus all the responsibilities of an employer: tax, NI, holiday pay, sick pay, maternity leave, etc.
If DD already goes to nursery, I’m curious as to why you don’t simply send her there full time if you don’t get on with the CM?
Above all, whatever form of childcare you choose, you need to communicate a lot better. Be absolutely clear about your expectations and how the setting works. I suspect your options could be far more limited than you may think, if you can indeed find anywhere that meets your expectations in full.