I don't know of any device with a HD screen that small, you just can't fit enough pixels on something that small with current tech. Other than the screen a netbook would fit your other criteria.
EDIT: How about this one, has an 11" screen with 1366*768.
http://www.amazon.co.uk/dp/B002J9GH3O/r ... B002J9GH3O
Ah, just noticed the use in all conditions. That takes you into the ultra tough laptops which don't come with HD screens. Also bleeding expensive!
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