News Client CMS issues


I have a client that is an up and coming Theatre News publisher, and we crafted their site on Webflow. They are beginning to expand quickly and are looking for an outside CMS source that is more publication focused, to integrate into the website. I’ve looked at the forum and people have mentioned a number of Headless CMS systems they’ve recommended, but I was wondering if anyone had successfully implemented something like this? I am completely green when it comes to this.

They also have been running into issues with the times of their posts showing up as hours earlier than the actual publication date, which is problematic for a news organization. Is there any recommendation for for solving that issue, or what the culprit might be?