For the record, the main reason I like PoS (although I'm at the current time not in favour of incorporating it in Bitcoin, although this can change later) is that it gives an incentive to run full nodes. In the current system people are not rewarded for running full nodes while running full nodes is indeed very important to the distributed nature of Bitcoin. I'm not interested at all in reducing wastefulness. There are millions of things in the world I consider highly wasteful and the energy spend to secure the most important social network the world has ever seen is not amoung them.
Thanks for taking a stab to analyzing the problem. Before proposing a solutions one should identify the problem.
First off one does not just get Bitcoin, one gets the economic synergy an Utopia it enables. (Utopia as in pain and suffering is the conduit for change not Utopia where there is no pain and suffering.)
If you get Bitcoin and you get the economic theories of Ludwig von Mises and Murray Rothbard, we can agree on the problems.
If you are at odds with the ideas of Ludwig von Mises and Murray Rothbard, we should agree to disagree, as that is an ideological debate and unrelated to Bitcoin.
Observation
1) energy + ingenuity is a replacement for labour.
2) harnessing energy and industrialization has created enormous wealth.
3) harnessing energy and industrialization has destroyed enormous natural capital.
4) we need balance between natural capital and subjective wealth or self destruction.
5) Bitcoin's exponential growth and energy consumption under certain assumptions seems will contribute to 3 above.
I will limit my problem identification and solution to the OP in an attempt to modify Bitcoin to address the problem he is technically capable of solving. There are other assumptions I believe more flexible that may result in the desired outcome.
Assumptions
Lets assume energy time and intelligence is the primary commodity in an economy, and for the sake of resources lets assume Adam Smith was correct (in that land will accumulate in the hands of the most competent - I favor Marx's evolution of ideas on the topic but will ignore them for now.) With the 4 ingredients (time, intellect, energy and land) you can produce everything we have in the world today and will need in the future.
Problem
how do we best allocate those resources for maximum benefits without compromising our natural capital.
Bitcoin enables an untested solutions but if it scales at in the future like it has in the past it is fair to assume the energy used would scale at the same rate. (Arguing this is also mute as this problem will for arguments sake assume that it does, although it most probably won't - but if it does it is a low risk experiment as the OP has time knowledge and resources to do it.)
TL;DR
So the problem here is
effective allocation of energy and
securing the Bitcoin network so Bitcoin can used the free market to efficiency optimize the 4 economic ingredients for maximum benefits. ( nether I no anyone can answer this)
But assuming it is a problem lets say 0.1% of all energy available in the economy should be used to secure the exchange network that keeps everyone honest. Lets also assume we want another 0.15% of the global economy to distributed the network for resilience. And PoS isn't the solution because it runs counter to Austrian economic equilibrium.
One could:
1) Reward those who run a full node with 1 Proof-of-Storage coin (infinite supply) for every active block added to the blockchain.
2) Destroy 1 Proof-of-Storage coin for every Gigahash/s per block mined (pay 1 PoSt to participate in current round)
The result is a market will emerge to specialize is storage, the storage would grow exponentially ultimately providing a limit to the energy invested in hashing.
Market forces would encourage nodes the transaction fees could be modeled mathematically on the percent of transaction fees as a function of the number of transaction and block size. As the storage size requirements grow for a node Proof-of-Storage coin becomes more expensive and mining slows as the network grows.
The results is every node is responsible for allowing a % of total hashing power. Nodes are limited by Moore's law until 0.15% of all Bitcoin economy is invested in securing a node.