The nice thing about using Cloudflare in front of a real host is that you can still do dynamic pages. You can instantly purge any file from the Cloudflare cache, so all you have to do is purge anything that changes and your users see the update instantly, while your backend only sees a couple of extra requests.

My site updates some data every 10 minutes or so, I don't think that would work with GitHub Pages. Maybe you could do something with Cloudflare Pages combined with Workers, but Workers have a limited free tier. The normal Cloudflare CDN scales to infinity for free.