Dozens of GB sounds like there’s a lot of media files to me. I’d not share that via Syncthing. Assuming that is correct: Wouldn’t a media server like Jellyfin be a better fit? Or if it’s photos, I recommend Immich. Note that Immich is under active development and should not be your only place to store photos.
I think that should be possible. You’ll likely need to get Jellyfin running with that cloudflare tunnel. There are probably alternatives to cloudflare tunnel as well, but I’m not very familiar with it. I believe there are some limitations with the tunnel, so you will have to check that out. Otherwise there should be no issue.