I wrote about this too[1], and since rqlite[2] puts a HTTP API in front of SQLite, you've got a SQLite-backed search engine available over the network.

[1] https://www.philipotoole.com/building-a-highly-available-sea...

[2] https://rqlite.io

Disclaimer: I'm the creator of rqlite, and it's not the only piece of software to make SQLite available over the network.