I think fasting is a good thing and something everyone should do occasionally. It will completely give you a new perspective. That said, I do not think you will starve the candida out. Last year when I was at my worst, I did a 9 day fast. The first 3 days I had a little vegetable broth to take the edge off of the hunger and then water for the rest of the time. By the 3rd day I was feeling pretty rough. It's true that I had no gut symptoms of the candida while fasting but as soon as I began eating again, they returned. You will get past the point where you feel hunger. However, I was not able to keep my normal pace the last 5 days or so; I was weak.
If candida is well established in your intestines and if you have not done any bowel cleansing, you probably have plenty of old stuff there to feed the candida while you do not eat. If you are starting on the anti candida diet, the fast is a good start in the sense that you will have an appreciation for the foods you CAN eat. You will become acutely aware of what is necessary and what is fluff.
I likely would not do the antifungals while fasting or any other supplements for that matter. Let your body have a break and do the work of eliminating what is already there without adding to the toxic load. A great place to start would be a weekend fast from Friday thru Sunday. And before you start you should try to eliminate things a couple of weeks in advance, like heavy food and caffeine. Remember to eat lightly when reintroducing food.