I didn't find it to be free, quick or easy, but then again, I used Cloudfront and had Wordpress on the backend. This was also a few years ago; wrote about it briefly here: https://www.mooreds.com/wordpress/archives/2565
Today I configured setup for my website (which is empty, I'm more interested with configuring things than writing actual stuff). All I did: set up github pages (few clicks in repository settings) and set up cloudflare DNS with "proxied" setting (which is default one). So now my empty website vbezhenar.com is protected by mighty cloudflare and it took very low effort and zero dollars to do so. You might want to check it out.
That's great. I have over 1000 posts on my WP blog, so moving it is a bit more involved. But if you're starting out today, what you suggested seems great!
