Subscribe to his newsletter (free) + set up a script/ifttt/zapier to convert to pdf and forward to your kindle email address

if he has a rss feed, you can use calibre to fetch it package it into a ebook format and send it to your kindle via email. each kindle account has a email address associated with it. You will have to allow the sender email that you set calibre to use in your kindle account but after that its automatic

Interested in this too. I am trying to use Kindle Scribe more.