Okayhello "Any other suggestions for downloading apps without Google?"
There are none, the recommended method is GOS over sandboxed google play.
You can download most open source applications on Github, but you should verify the APK key (assuming you know the key or its in the database) using apkverifier and obtainium for package management
Outside of those two, not many safe ways to get apps.
If I'm not mistaken, aurora store doesn't protect your privacy much compared to the play store, however I also get not wanting to install play services (I don't, I use aurora/separate profile for google services)