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LMDB support multiple readers and one writer at the same time. It is ensured by the library. Note that LMDB is a key-value store. You can use the heed library which is the most maintained Rust wrapper.
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InfluxDB
InfluxDB – Built for High-Performance Time Series Workloads. InfluxDB 3 OSS is now GA. Transform, enrich, and act on time series data directly in the database. Automate critical tasks and eliminate the need to move data externally. Download now.
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I've been happy with lmdb-rkv in general, but if you choose it you should know it has a soundness bug: https://github.com/mozilla/lmdb-rs/issues/79 Took me a day to figure that one out.
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I'm not sure what you need. Are these of any use? https://github.com/meilisearch/heed https://github.com/spacejam/sled