A Huion Kamvas then, still way cheaper than an iPad.

Again it doesn't bother me for certain ratios of time thinking:writing.

Like a hard sudoku puzzle is fine, you typically write one symbol every few minutes.

But for notetaking where its a symbol every second, yes to me its terrible.

Not really, it works just fine and you don't obscure the screen with your hand.

Not really, sure it is easier to find your cursor but that is not very hard using an external tablet, and you get much better ergonomics plus you can see what is under your hand.