I am by no means an expert, I haven't even been able to stay on a fast for more than a couple of days, I just know what I read in books and from posts on this forum.
I know for a fact that everyone will tell you not to drink the coffee, it's a stimulant. Anything other than water will trigger hunger.
That being said, everyone has to do what works for them. Maybe you won't drink the coffee much longer. Good luck with your fast.