CTA buttons are usually more desirable than links as they garner more attention
Buttons are designed to be clicked. Their affordance communicates so.
Since the CTA is the most wanted action on a homepage, designing it as a button should be your main approach. Particularly if there are no other visible buttons on the page, the CTA will obviously be the next course of action for your site visitors.
Wondering how to create an ‘affordable’ CTA?
Use embellishments and borders. Check out this article for more button design inspiration.