The great thing about static sites is that it's really easy to put them behind a CDN. Amazon Cloudfront is pay-what-you-use and seems pretty reasonable especially for smallish sites.
We currently use a mix of Akamai (100TB/month commit, static assets), Cloudfront (serves a static JS site out of S3, 10-50GB/month of usage), and Cloudflare (caches JSON get requests from an Elastic Beanstalk REST API). I've found Cloudfront to be faster than Akamai (although a bit pricier unless you're committing to 10TB+/month from a specific region), and Cloudflare to be faster than both (although with Cloudflare I can't invalidate individual files/URI paths, just the whole site, which I can live with).