I'm applying for a role as "Digital Designer -- HTML email production"

Hi, I'm applying for a role that will primarily be focusing on design and production of emails and the accompanying aspects of email marketing.

I will be contacting them directly with my application, and thought that displaying some creativity at this point is in order. My idea is as follows:

Send them my application in the form of a designed email via Mailchimp.

The focus of this idea is on the email being a designed email, almost like a newsletter email or a promotional email, with a header (image with the text "Application: Digital Designer *****", for example), paragraph (which'll serve as my covering letter), links to some of my work, website, and, perhaps, a link to download my cv (though my CV, by convention, will be sent as an attachment to the email itself as well).

Now, my question is somewhat two-fold:

Is the above possible?...Can i design, code and send it straight to them as a one-off, with the "Subject" displaying as "Application for xxxxxx" on whatever email client they're using?

I'm taken to this idea as a creative approach that might increase my chances of being considered for the role, but, as the latter-half of my question, i welcome any opinions and criticism.

Cheers, Leon