You can get RSS apps that will download the full articles for offline reading, including images.
I use Newsify with my Feedly account on the iPhone, and it’s perfect. Android clients are also available (sorry, can’t remember names).
I had to write a Huginn agent that crawls my RSS and creates a private feed that then subsequently downloads the entire article, which I then can pump back into my reader. Sigh.
I mostly consume my feeds on the London Underground, so offline reading is perfect for that, but I tend to have to scroll through articles that are truncated because there's no point in reading them.
You could argue that the infrastructure of the tube network is the problem, not the state of the modern web, but still, it sucks.