I think you can change Notifications to 'manual' instead of 'push', but that is probably a global setting. I've already upgraded my iPhone so it doesn't bug me. My iPad can
not upgrade past 9, so I don't get any 'reminders'!
BTW, it's already up to 10.1.1. Several Security updates. The best change is the app that lets your devices control Apple TV, I really dislike the Apple TV remote!
Is there something about 10 that you know will cause problems?