I want to keep the phone off so the email notifications don't bother me when I sleep.
Is it possible to have the alarm wake the phone and ring?
Is it possible to have the alarm wake the phone and ring?
You don't say what "off" means. If put the phone in "airplane" mode emails will not be received and your alarms will function normally. Also, some email apps (like MailDroid) have a setting that stops the email sound during hours that you set but will continue to get email.