The solution I'm using now isn't perfect, but it's not bad and saves a lot of trees.
Set up an Instapaper account. Instapaper is designed to allow you to read long web pages offline, and I use it all the time. It's mostly used by iPhone and iPad people, but there's some (rather hidden) Kindle features. You'll want to set up the "Read Later" bookmarklet anyway. This gives you a button you press on a long pieces you want to read later, and they'll get pushed to your Kindle the next time you send out a bundle.
Now go to the "Manage your Kindle" page in the settings section of Instapaper's site and enter your Kindle's email address. You'll then need to login to your Amazon account and set up your Kindle to accept emails from the special address shown on the Instapaper Kindle page. Note that the Instapaper Kindle page gives the impression it'll automatically send you a new bundle of articles whenever there's new stuff. It doesn't, so bookmark the page so you can send it through on demand.
Finally, on the Instapaper Extras page, "Email in links and long messages". Copy that out, then go into your email account and set up a rule that will forward your crikey emails, identified as coming from "email@example.com", to this unique address.
Now each afternoon, after the Crikey email arrives, go to the "Manage your Kindle" page and send yourself the latest bundle. You'll want to go into Instapaper and archive stuff from time to time, but otherwise it's pretty painless. The first page with links to the articles will look really messed up, but after that the formatting is mostly okay.
Now if Crikey really wanted to help us out, they'd create a Kindle-specific version of Crikey, with images automatically resized and the formatting less broken, I'd be thrilled. It wouldn't be that hard for them and I'd be happy to help out!