Is there a way to put a registration deadline on an offering that will stop all assignments?

Summary:

We have a need to put an enrollment deadline on offerings so no one can assign to the offering.

Content (required):

We often have instructor led offerings that need to have all enrollments cut off 24 hours ahead of the training. I know we can hide the offering from Learner self service by using the publish end date. However, we also need the offering to not allow assignments by others who can see the course in My Client Groups. This happens if there is a lunch being ordered for the class or if special materials need to be prepared ahead of time. Basically, we want to ensure there are no late enrollments.