[seguer]

If you've got a completely static site and it's being served out of a CDN, the underlying hosting shouldn't really be an issue.

The majority of users/web requests aren't going to be hitting your hosting; they'll stop at the CDN.

Perhaps a better question is "fastest CDN?".

[zuck9]

I'm a newbie in web development (well technically not development but the web infrastructure, CDN/DNS/Nameserver/etc.)

As long as I use CloudFlare, it doesn't matter what host I'm using, right?

I've been thinking of ditching shared hosting and switching to Heroku since it'll be free (and git is always awesome).

[ShinyCyril]

If you're behind a CDN then use whatever backend suits your deployment style the best. If you like working with git then GitHub pages and Heroku are both great.