When I created this thread, I was more thinking of a very small portion of the estimated +/- US $50 transactions fees per block, being generated now. {Let's say about $10 of that amount, goes towards, this reward.}
But the $50 per block, seems to be at the upper limit per block, anyway. See this thread -->
https://bitcointalk.org/index.php?topic=738166.msg8351456#msg8351456This can easily be funded by donations, from generous
BTC moguls. or from the $ 2 000 000 wallets currently generated on the blockchain. { 1 satoshi from each of them }

The "proof of node" part, I will leave up to you. Way above my knowledge level.
Who would want to exploit a system, for that kind of money? {Remember it's split up between everyone, running the full node} So running 1000 full nodes, will cost you more than, what you would gain from it.
But it creates another way, to generate income from
BTC and that is good.
But, thanks for all the positive remarks. Remember it's just a request.