I will admit, technically I dont understand what you propose. (details)
But questions is, what problem are you trying to solve?
energy? You cant save energy when it is proof of work.
Lets assume, somehow we come to agree to make Bitcoin HARDER (you know, lets burn some fuel) to solve. Lets say, we will somehow make it 10 times harder to solve.
Do you know what will happen? Bitcoin network will just ADJUST itself back where it was. (10 minute mark) It does not MAKE ANY difference.
You are making a change, which will not make ANY difference. Right?