Any site to host my little utility script?
Have you considered running this on AWS Lambda. It will probably forever free under free tier. There may be a couple of cents cost on API Gateway.
Otherwise you can rent outdated servers for cents per month,  but I am unsure what the best search term is for that.
Finally,  email addresses are free to generate and you can invest the time to set up a fresh AWS account once per year and run on free tier.