The rukles for divination in TMRE can be easily adapted to non hermetic practicioners. You can also find rules for those in:
- Rival Magic (augustan brotherhood, they use the aeneid to find answers to their questions)
- (IIRC) the hyperborean himnists from Ancient Magic
- Art and Academe (astrology)
- Cradle and the crescent (same as A&A, more or less)
- Maybe a rune by the vitkir in Rival Magic
If you want to see (most) non hermetic traditions out there there is a thread compiled by yours truly
https://forum.atlas-games.com/t/non-hermetic-traditions-a-compilation/5381/1
Maybe you can get some ideas from there.