2. A coin with a rate of inflation that is on par with economic growth.
I think you should sit down with a hot cup of tea and think carefully about that one. Especially the words 'inflation' and 'economic growth'.
The answer seems, inevitably, to turn into hidden debt.
The experiment is being done - in spades - in the world around us.
In the cryptocurrency world, the solution to your problem is The Bernankoin.
https://bitcointalk.org/index.php?topic=375010.0Enjoy.