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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.
If you need network capabilities, adafruit sells some breakout boards for the esp32. They provide a library here that you can use to control it with your pico. Then you can make the request to wherever, assuming your database is remote and available. It's relatively easy, but what I do not know about is database access. I'm sure there is some small database library/interface out there for the rp2040.
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