What I actually want is to be able to pay Reddit or Google or whoever it is a fair amount of money, say the amount they'd make by showing me a reasonable number of ads, plus a bit more. Say 10% more. In exchange for making more money from me than they would with ads, they would let me use old.reddit.com, or a third party app and not show me any ads.
I get an ad free service, Reddit gets more money than they would have before.
I figure that the amount would be easily less than $10 per year.
They would have to show something like this: at the end of each month, they tell me that I consumed so much of Reddit. They would have shown an ad every 25 posts, at $0.0005 per ad impression. So my payment for the month will be $x.