Hi Brenda,
In CA 11.1.7, there are capabilities added for this -
Email capability allows users to send emails. So, if you restrict this capability for your DoNotSentEmail group, those users will not see this option to mail either while scheduling, or running reports in background or sharing via email.
Attach Outputs - if your intention is ONLY to stop sending attachments to mailboxes, then you can look at this option.
In earlier versions, you can look at restricting the Scheduling capability that would restrict the Schedule feature but remember that users cannot even schedule reports to save outputs as well.
Hope this helps.
Regards,
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Kiran Passumarthi
www.linkedin.com/in/kiranpassumarthi------------------------------