- The password of this account is unknown, random, and only software knows it.
That's pretty much impossible.
But other than that, your scheme is very close. The mother account will be the Foundation account. It will know the password.
Also good idea to use automated fees, tied to this account. Not sure if it will be feasible, but I will think about it.
I thought about a similar approach yesterday.
What will determin, which nodes will get a reward?
Completly random is gameable by setting up loads of fake nodes. Injecting additional transaction fees will hand out most money to those who process the most transactions (on which metric will the transaction processor be determined anyway?)
Is it possible to test a node and see if it actually helps to secure the network, by letting it process a test transaction/block? Is it possible to record how long a node has been active?
For any meaningful reward to nodes metrics are needed to determine which nodes should be rewarded.
Are you sure this will only be possible with an external program?
On the other hand, an external one might be interesting after all, as long as it is only needed to receive rewards to run a node.
Choice is important in that aspect.