You've actually missed a key distinction here: the negative emotion of the incomplete assignment is almost certainly what makes you procrastinate... and you're mistakenly interpreting that negative emotion as being about the writing.

What happens is this: since you feel the unfinished item pressure every time you think about doing the task, you literally condition yourself to feel bad about doing the task. It becomes a cached thought (actually a cached somatic marker) tagging the task with the same unpleasantness as the unpleasantness of it "hanging over you".

So, it's not that the process of writing really bothers you, it's the unfinishedness of the task that's bothering you. However, your logical brain assumes that it means you don't want to write (because it doesn't have any built-in grasp of how emotional conditioning works), and so it looks for logical explanations why the writing would be hard.

When you're busy writing, however, you're not thinking about that unfinishedness, so it doesn't come up -- the somatic marker isn't being triggered. That's not at all the same thing as "shifting the balance".

The actual way to fix this is to make it so you don't feel any pressure to finish the assignment... at which point you'll be able to freely choose to work on it, or not work on it, and won't find yourself looking for ways to avoid the conditioned negative response to the assignment.

Likewise, all the stuff you said about arms races is pure baloney: just a crazy story your logical mind is making up to explain your problems, like anosognosia of the will.

So here's what you do: establish a test for the somatic marker, by thinking about the task, and observing what happens to your body: does your head slump? Your gut clench? Fists tighten? What specific body changes take place, whenever you think about it? If you have trouble, clear your mind, shake out your body, and think about it again, so you can watch the physical state transition as it happens.

Once you've established the test, you can use it as a basis to check the effectiveness of different motivational or belief-change techniques: if a technique actually works, you will no longer respond with the same somatic marker to the original thought... and you will find that your inclinations to the task have also changed.

This is something I do in my work, and I only teach those few techniques (out of the many thousands in self-help books) that I have been able to successfully change somatic markers with. (Not that I've tested ALL of them yet, not by a long shot. And I only bother testing new ones when they have potential to be faster to use or easier to teach or cover a different kind of problem than the ones in my current toolbox.)

Happy self-experimentation. ;-)