If you enable Touch ID access to an iOS 9.3 Note.app Secure Note, the password on the note doesn’t matter. The note is no more secure than your device passcode.
Because if you know the device passcode, you can just add a new fingerprint to Touch ID. That will unlock the secure note.
So if you want to truly secure a Note with a strong password you can’t enable Touch ID access. Otherwise you might as well leave the note unsecured. You are better off using a strong password for your phone and using Touch ID for fast phone access.