This can apply here too.
The amount of oil that can be safely burned is finite. Meaning there's only so much air to burn, and it should be auctioned off at market value, thus it gets more and more expensive over time. We pay for garbage disposal, why not pay market rate for carbon disposal too, it's the most capitalistic and scalable way to solve the problem.
Instead of trying to have this type of accounting many lobby to simply not pay for it because it would make their business less competitive with other energy businesses.
As for the alaskan wilderness, that could become profitable farmland or residental area later on as the climate warms. Being a wilderness experience would increase the value of the real instead whereas being oil contaminated would make it a lot less desirable.