I got into long distance running during this morning-not-eating period. Totally distracting to any hunger thoughts. Also, you start to find it's actually a huge benefit not to have a stomach full of food while you're trying to run a long distance.

Also, my wife had success starting with putting Coconut/MCT oil in her coffee. The Bullet Proof coffee folks swear by this and I think most would say they're still "fasting" and getting the same benefits but now they have a TBSP of oil in their stomach helping. Might be a step to going full "nothing but coffee" for 16 hours or whatever you're trying.