My simple solution is to filter them all into a "News" folder that doesn't notify. Then I can just open it whenever I have some spare time.
Pro Feeds:
1. Once you subscribe the publisher has no way to contact you. Email relies on the publisher being honest.
2. Provides some history (or full history with archiving/pagination atom extensions)
Pro Newsletter:
3. Push based system by default (Feeds can use WebSub but it isn't that common).
4. ~everyone already has it set up.
At the end of the day they both transmit blobs of HTML to you with some minimal metadata.