I also used Hugo for my site - https://testloop.co.uk
It's so simple.. and FAST. It's hosted on AWS S3 with CloudFront & Route53 so it's not free, but at a cost of around $1.20 per month, it's not far off.
EDIT: I just realized that's a question I should ask: Does your price include the domain?
S3 static hosting is far easier to manage than a virtual server; it's a trade-off of convenience vs savings.
I'm really conscious about the resource usage of my server processes. Most sites are static websites, but I also have Gitea, Prosody and Matrix Synapse running on that box, plus some small Go webapps for my own consumption.
I've used digital ocean droplets for some things for a similar $5 a month price, but it hardly seems necessary for a static site. It's much less faffery to just upload some files to S3 and click some buttons in the AWS console to configure everything.