I didn't just have this experience with NYT, but also ACLU. Easy to give them your credit card, but far more difficult to get them to stop the recurring charge. This stings a lot more than NYT, because philosophically I had better opinions of ACLU.
To this day, ACLU people text me every week or so to ask me to do participate somehow. No matter how many times I've asked them to stop. And since the texts come from someone different each time, blocking isn't a viable option.
Guess who won't be getting any more of my money?