Or you could just pay literally less than the cost of a cup of coffee a month --- with the first months free --- and use your Amazon Prime subscription to get WaPo. NYT all-access is a little pricier; it'll cost you two cups of coffee a month.
I'd understand the resistance if you were constantly having to authorize and approve these charges, but really you just sign up and forget about it. I use the subscriptions at least as much as I use Netflix. I am sort of kicking myself for not having set this up earlier.