I was just about to say the same! I've been VERY happy with my AWS static hosting via cloudfront. It's cheap, fast, and reliable. I can even deploy my site from the command line with this [1]!
It's very fast because it only pushes diffs. I use a bit of command line scripting to create an zip archival copy (for historical reasons) and to push the site to AWS just by doing:
$./deploy.sh