For everyone
Notification preferences
Settings → Notifications lets you choose which kinds of updates you get (needs, meals, messages, prayer, and more) and set quiet hours. Turning a category off there means you won't be notified for it, even if you're still able to see that content in the app.
Bring this to your church
This is how aVillage already works today — free to try for a small church, and every church can ask for a reduced or sponsored account.