If you have DNSSEC with CAA, you can use that to choose a CA which has a contractual relationship with you. That contract can say anything you both like, for example it can say:
"All issuances under example.com shall first be approved by telephone call to our security office on 1-234-567-8900, and the certificate issued shall have a notBefore timestamp no earlier than 24 hours after an SCT included in the certificate"
This requires no new technology that I can see. If CAA and DNSSEC work together as intended (which I admit is a big "If" but they can and should) the Bad Guys now need to mess with the phone system for approval, then wait past the MMD and hope you aren't watching for their shenanigans. Or break into a CA and issue for themselves. That's a much higher bar, albeit at great cost.