CAPTCHA on default contact form for Aegaeus

I want to use the default contact form for the Aegaeus theme, which includes a full-width map near the top of the page, ABOVE the title and sidebar. The problem with this is the default contact form does not seem to be editable and does not include a CAPTCHA.

I can add a CAPTCHA by changing the template from a Contact Page to the default template and adding the Contact Form 7 shortcode. But then the map goes away and I must add it back using the map shortcode. However with this configuration, the move is moved below the Page Title and beside the sidebar.

How can I keep the exact look of the default contact form, with the map above the site title and sidebar spanning the full width of the page, AND add a CAPTCHA at the same time?

Thanks.