I use CloudFlare as my CDN service for a few months.
I have found that when CloudFare tries to connect my website on Godaddy, the SSL handshaked failed error often occurs. Here's a screenshot CloudFlare provided for me:
Could you help to find out why it often happens and how to resolve this issue?
Thank you for posting. I'm sorry you're having trouble. I'd recommend reaching out to our support team on this so that they can troubleshoot further.