I have the same question. There is a BCC to Self option, but I want it to go to a different (new) email account that my phone doesn't see. That way, in Outlook, I can set up a rule to move anything for that account into "Sent".
Kostya, I hope you recover very quickly from your illness. You have a lot of fans with this amazing product of yours (I've upgraded to Pro) and we really appreciate your willingness to listen to us.