This is what Canada is doing. Equal rebates for everyone - use less and you get a subsidy, use more and you're the one doing the subsidizing.
Now of course Canada's carbon tax is tiny, but there's probably some behavioural economics rationale behind the idea that even a tiny cost can have outsized impact on behaviour.
Rebates for people in certain provinces. Others have implemented a cap-and-trade shell game where the residents receive nothing but they still experience rising prices because of costs to nation-wide businesses being passed on either way.
Shamefully, I've committed the cardinal sin of people from my province: forgetting the other 60% of my countrymen and forgetting that things do vary between provinces.
Now of course Canada's carbon tax is tiny, but there's probably some behavioural economics rationale behind the idea that even a tiny cost can have outsized impact on behaviour.