> that energy ought to be used for more practical pursuits.
I don't think you or anyone else should get to decide what amounts to practicality of energy consumption. Lots of people burn hydrocarbons all day long so they can live in the burbs and have their own driveway and nice big walk-in closets and not have to take an elevator or stairs up to their apartment.
> Anyone know of cryptocurrencies which will not blow up our planet's carbon or energy budgets? I've heard of proof-of-stake algorithms, but don't understand that approach very well.
They're not trustless, but they are a very interesting approach to the problem. If they indeed are superior, they might supersede bitcoin and other PoW friends at some point. But it's really hard to move past the fact that bitcoin is already "this hard" for folks to understand. Moving beyond it to new coin designs will be an interesting challenge.
Proof-of-stake is discussed in the peercoin whitepaper [1] in plain, understandable language. Best to start there IMO.
[1] https://peercoin.net/assets/paper/peercoin-paper.pdf