yes it will work, I prefer you never do soy, studies are coming out out and have for sometime how bad it really is. Coconut or almond milk would be better.
Coconut sugar is still sugar - less processed but still reacts the same in the body. No matter how you package it, organic, raw, maple syrup, etc, it's a weight gainer for sure, especially coffee with milk and sugar. Up to you but on the program no you cannot. Sorry.
You cannot drink carbs like that, it's so off balance. your body reacts more severely.
Coffee is fine on the program wit ha little stevia, that's it.