If you use WordPress, try this: http://wordpress.org/plugins/wp-super-cache/

It turns your WordPress blog into static html pages that load fast.

If your ok with a static blog that you need to put a little work into you can use GitHub Pages and Jekyll. You have to push updates yourself but its completely free.

http://jekyllrb.com/ http://pages.github.com/

Instead of jumping on another similar host try optimizing your website first, installing caching plugin like W3 Total Cache would make a lot of difference. Of course, the best way to handle traffic would be with flat html files, converting your blog to Jekyll/Octopress or similar, like the sibling comments are suggesting.

Try github pages