Batteries are not really considered at realistic option for airplanes, AFAIK. The best hope is that they can use synthetic fuel, at a cost of, say, x7 the current price. Regulation could definitely help make that happen -- and those who fly a lot should have to pay for the real price of their transport.
We all know how much of a scam carbon offsets are atm. Realistically I think it will be at least twice that amount just for carbon taxes, never mind the additional fuel price.
Focus on improving, not limiting. Invest in battery technology, throw billions at it and we will have carbon free air travel