I've discovered that the missing link for me was getting the articles onto my Kindle. I now read between 100-150 articles a month this way, previously I would read only 10-30 articles in a month.

I use Wallabag, an open source alternative to Pocket. It generates an RSS feed which Calibre can read, download, and send to the e-reader. Pocket should do the same thing. Once a week or so I go through and mark articles as read, then open up Calibre to re-download the fresh feed.

One weird trick (heh) that has become really useful is reversing the RSS feed. So I receive two 'e-books' on my Kindle, one with new articles and one with old articles. This satisfies me, since I'm often wanting to read some new articles ASAP, while also working my way through the backlog.

Calibre lets you script the feed processing in Python. With Wallabag the feed is also paginated, so you could accomplish nearly the same thing by selecting a higher page number. Not sure if Pocket does that.