My recent submission of HNBadges was made like this. It's just 3 files (html, css, JS) which I hosted for free on Netlify, but could have been hosted on a setup like OP. I used other services for XHR requests. I imagine it got a tonne of traffic from being on the first page, but I wasn't taking metrics.
Another example of clever use of resources is the https://haveibeenpwned.com/ website. Using a bloom filter (I think) to turn what could have been a back-end lookup into a "front end lookup" by requesting a small file from the server based on the password hash.
The only issue I have with the OP is his assumption that you'd get a nice smooth 60 request/second throughout the day! Most likely will be lumpy, and in the top of the lumpy periods (where most of your visitors visit) performance will be bad.