Ok, so now that you have clarified what you meant... I can say that I fit your requirement (except that I'm not a Childminder and not in Cardiff).
As a nanny, I:
Prepare fresh, most of the time vegetarian food (and certainly could do all vegetarian food). Get a box of fruit and box of veg delivered each week via one National Organic Box Scheme (Fruit) and one organic Local Box Scheme (Veg). Sometimes our outings take us to Organic Farms, so we may supplement our Box Supply at times.
We do lots of Home Baking and used to use Butter only. At present we use a mixture of Butter and Marg, but could easily go back to just using Organic Butter alone - if we can get suppliers to drop their prices a bit (sorry, we are on a budget).
Previous to this month, the children I care for didn't have to Try everything. This month however I have started trying to get them taste new things, so they do now Try Everything. But easy to go back to letting them leave as much as they like - and just eat pudding.
We go outside daily... sometimes for walks, other times play in the garden, local parks. Also go on local transport - train station within walking distance (though safer to drive alas - pity Surrey CC doesn't think about that sort of thing much when designing road layouts).
No dogs, don't smoke. But we do have Free Range Chickens and a Cat, plus a large compost heap - so expect rather a lot of worms unless the chickens have found them all.
We do some reading, though not major amounts. Favourite books currently are Gruffalo, Squash and a Squeeze, and a collection of old Lady Bird Aesop fables and short stories.
I don't teach the children to read or write. However we do use words and signs during play and outings. The children like maps for example, especially my GPS hand-held digital map (aerial now held on by sticky tape, due to 3 year old dropping it too often). We also use other IT equipment, such as a PC with Internet access, plus we make music as many instruments in the house.
No broadcast TV in the house. But we do have DVD - which is watched, generally while food is being prepared, if the children can't/won't help prepare the food. Also eldest child tends to chill-out after school with a DVD. We would meet your requirement of not having DVD on for at least half of the day, but it would be on for 30 to 90mins at times - depending on programme/film length.
I do this 50 hours per week, as a nanny. You may find a nanny who will do the part-time hours you require, though not all nannies will consider part-time work... plus it is care at your home, not you taking your children somewhere else.
So YES it is possible to find this sort of thing, but it may have to be care in your home.