Hello from the UK
I know what you mean about finding an English curriculum - I guess there just isn't the same demand for homeschool curricula here
It's frustrating because I don't want my son to learn vast amounts of American history or literature, but there aren't many alternatives for a complete curriculum. I get the impression that a lot of UK homeschoolers are actually un-schoolers and thus don't need a curriculum.
Now, as to figuring out a curriculum, I would avoid the Classical styles if you don't like rote learning. I'm not a fan myself
Now I can't say I've read more than a vague overview for Classical, so someone else can tell you why rote memorization is actually a good thing (or whether I've got it all wrong) but that is the impression I got and why I'm not really looking any deeper.
Likewise Robinson Curriculum focuses only on reading, writing and arithmetic - even science is left until after completing high school maths. There are lots of good books on his reading list, but it is quite restrictive in what it teaches.
It sounds like you would like Charlotte Mason as a curriculum (I will be using this as a spine, so I may be biased) - this is a rigorous book-based curriculum designed to leave the afternoons free for nature walks and outdoor play. Have a look at Amblesideonline.org - they have some good overviews of what to expect from using CM and a free curriculum which has lots of freely-available books. Apparently a lot of Americans complain that there are too many English books and the English people complain it is too American
It is a good place to go to get a general idea - I do plan to substitute a lot of the US history/literature with UK history/children's classics. The Yesterday's Classics collection of books has a lot of (admittedly American-English) good old books covering English History. Did you know Dickens wrote a history for children?
I do think that science needs to be more practical, though, so am using Building Foundations of Scientific Understanding for more hands-on science. It is fantastically thorough and hands-on and I haven't really looked at anything else.
For maths, there is Saxon (a US-based but very thorough) or MEP (UK-based and FREE) as two complete curricula that I am familiar with. I know most people on here intend to go through maths at an accelerated pace and use Saxon to do so. MEP actually covers around 95% of the national curriculum material to a greater depth so you can be sure that you cover the 'important' bits
Personally, I'm using Saxon now and hope to add in MEP in a few months (since MEP requires a bit more brain activity than Saxon at the moment) and will probably alternate days for the early levels of the curriculum (I don't really want to be doing middle-school work at age 4 which is where we would be heading otherwise). There is also Life of Fred, which is story-based but American, Miquon which is a great hands-on primary level course which goes to a lot of depth but not the breadth of the others, and IXL which is web-based and covers UK national curriculum. Rightstart was one of my favourite Maths curricula, actually, but it is expensive and has huge shipping costs.
I have just ordered Draw Write Now to use as an early art curriculum and am looking at Atelier (homeschoolart.com) for later.
Unfortunately, almost everything I have mentioned is American-based. This isn't such a problem for Maths, Science and Art, but Literature and Spelling are proving to be a pain. Even Reading Bear (which is fab) is causing problems because the short-o sounds completely different!
I hope I've given enough here to get you started