Google App Engine is great & free for low volumes of traffic. I use it for my crypto dashboard: <a href="https://priceeth.github.io/" rel="nofollow">https://priceeth.github.io/</a><p>Github pages if it's static enough, or for any static part.<p>If the amount of data is small / static-ish, and can/needs to be changed by non-tech people, I've also used Google spreadsheet. Example: <a href="https://hasgluten.com" rel="nofollow">https://hasgluten.com</a>
FaaS/Serverless will be a good starting point for something like this, so either AWS Lambda, Azure Functions or Google Cloud Functions will be good enough.
The free tier of AWS Lambda gives you up to 1 million calls per month. You could use this for the actual fulfillment of your data. Paired with AWS API Gateway (1 million calls for free per month for the first year), it seems that you could do this relatively cheaply.<p>The only thing I haven't accounted for here is if you're querying against some sort of database, which would incur additional hosting costs.