How can I post email from an alias without it showing my account name from the primary account profile?

I have a primary email account name sent up, for example, as *** Email address is removed for privacy ***, which I use to send most email from here. I also just set up an alias on this account, which shows up, for example, as *** Email address is removed for privacy ***. The email works fine from both except that I would like to be able to send email from the alias without my full name showing up along with it, as it does from the primary account because I have it set to do so on the primary account profile. Is there a way to configure the alias profile so that no name is used?