https://uk.frankgreen.com/products/stainless-steel-reusable-cup?variant=31075769778245
This hits most of your criteria.....apart from the integrated cup. Can drink directly out of it though.....
Oooh this could be a shout actually... would work well, been mulling it over and might just get a lightweight mug for aeropress outside situs!
@jjiimmii started
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https://uk.frankgreen.com/products/stainless-steel-reusable-cup?variant=31075769778245
This hits most of your criteria.....apart from the integrated cup. Can drink directly out of it though.....