For anywhere small enough to not have an IT department, or so large and where the IT department has effectively become obstructionist to other department's jobs, just buy marketing their own WPEngine subscription and let them do their thing.
I think people who work in an "IT Department" sometimes have a too narrow view of the rest of the world. Both ignoring that almost all small and most medium sized businesses do not have an IT department, and also that there are people and departments in their own organisations who's IT needs are real but are not considered a priority by the IT Department.
(Often understandably not the IT departments priority, the people in a bank IT department who're securing financial systems from continuous attacks almost certainly don't consider the HR departments need to set up a quick website for the company bbq or RUOK day to be a prioroty. But someone in HR is getting _super_ frustrated at not being able to do the "simple things" they know they could do if IT didn't keep pushing back.)