I’m a big fan of local zines from my area, so I would look around your arts/music societies to see what’s up.

https://microcosmpublishing.com/ I like this site and have used them a couple of times. Shipping sucks but they are pretty transparent about it. The owner apparently had some internet drama but I’d say they got a great selection of cool stuff

Good luck on finding your zine! It’s a cool ass subculture