Washington Post lets you cancel through their website without talking to anyone. It's also significantly cheaper than NYT last I checked. I'm a subscriber, and I think it's a pretty solid paper especially for national politics coverage.
I called their support asking if this is a known type of ad that they do for paying subscribers. It seemed like a bug, so thought they'd want to dig into it. They told me that this is indeed a thing they do, and that I am not exempt from autoplaying unstoppable audio ads just because I pay. I told them to double check, since otherwise I'd be canceling, and they confirmed that it's a thing, so I canceled. (I'm 50% sure the support person just didn't know what I was saying. Maybe my ad blocker was being screwy somehow.)
Outside of that, I find the coverage to be pretty neutral or maybe center-left, but definitely factual and not outrage baiting. WSJ is even more neutral, but I find that WaPo has better politics coverage (while WSJ has better business coverage). NYT is similar to WaPo, but IMO a little less neutral with the way its headlines are written. NYT is still a great paper though.