Several months ago I've made a proof-of-concept of exactly what you're talking about, feel free to check it out: https://shekhirin.com/sqlite-fs/.

I recommend downloading sample DB, writing some dummy query like "SELECT BILLINGCOUNTRY, COUNT(INVOICEID) FROM INVOICE GROUP BY 1 ORDER BY 2 DESC" and then pressing Execute.

I've been planning to write an extensive article about it and open sourcing the solution cleaning up the code a little bit, but still haven't got much time to do so.