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This is an amazing idea. I love it. A thought about "the other problem".
Instead of aiming to keep the value stable, how about it instead it just aims to have the purchasing power simple and predictable. Aim instead to have 1 µ coin be equivalent in value to 1 GH. This would be achieved directly via fees / difficulty as you mentioned. The aim is to force the coins value to be on parity with the cost of computation. Essentially, the only change wrt to your paper is to not adjust for expected Moore's law. I believe having the direct parity of value without any extra layer of complication makes the general public much more equipped to make an informed value judgement on the coin.
This gives the coin something physical to directly and reliably derive its value, computation. It would remove a huge layer of confusion about what the coin is worth. Although the value of one coin would change, it would track something that is mostly predictable.
Although the coin would inflate over time, as a means of fund transfer it would be predictable. People who want to move their money into "savings" so to speak may consider the share or other forms of investment.
I would love working on programming something like this. Pinning the value of a coin directly to computation via your shares system without any extra layer of complication seems like the way to go.
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