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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
I don't know the definition of "small-ish", but the free tier gets you a long way. Just make sure you use the proper .gitignore and take it from there.
GitHub is definitely the way to go. GitHub's max size for an individual file is 100 MB, so if you have a file that is larger than that, you may need to use GitHub's LFS feature. GitHub has a free tier for LFS, but if you make a lot of changes to large (>100 MB) files, then you may need to upgrade to the $5/mo plan.
NOTE:
The number of mentions on this list indicates mentions on common posts plus user suggested alternatives.
Hence, a higher number means a more popular project.