I'm also a very logical and evidence-driven person by nature who has gone through similar since losing my faith. It's not for everybody, but I've gotten a lot of enjoyment from Stoicism. There are tons and tons of books on the subject that vary in quality, and unfortunately I can't recommend any specific ones because at this point I've read so much of them that I don't remember where certain ideas came from, but I definitely recommend the writings of Seneca. Marcus Aurelius' writings are great too.
It's so funny you mention that because I picked up the Daily Stoic a couple of years ago and have read it off and on. I have found it really enjoyable. Thanks for the rec!