There is one thing that actually worked for me when I was a student and slept through an exam and then when I was teaching students myself and had students who slept through my exams.
You can attempt to negotiate that you are allowed to take an exam and if you pass with an A, you get the minimum passing grade (61% or D or whatever) for the course. If you get B or less, you fail. It should work with the professor, unless the school policy forbids such arrangements.
As scaaahu pointed out in the comment, that is a pretty disadvantageous position, and that is why it has a high chance to be accepted. Of course you should try to bargain to retake the exam on standard terms, but your bargaining position is pretty weak there so you might have to settle for whatever works.