Ask your class tutor or instructor if there are other ways to solve this situation. The key to your problem now is to hope that the school will recognize your certificate. Therefore, it is not difficult to clear the relationship, but actually change the data in the system. After all, a college degree is the most important thing.
What you meet is actually that the school wants to make some money, and it's a big deal to pay a registration fee. Ask the teacher for help to coordinate privately. After all, your diploma is still under the control of the school. Right?