@optomist Check out the book by authors Jaminet, on Amazon or other book sites, called "The Perfect Health Diet" (disregard the silly name for a book title, the book is very well researched).
The author was on a very low carb diet like yours is, candida got worse on that, and he researched and found proof that the gut walls function much better with some starch in the diet, and why. He healed his candida by adding in CERTAIN types of starch to the diet, not by leaving more carbs out from his already very low carb diet. certain starches function in this manner, different than sugar or fructose does.
Amazon allows some preview to the book contents, and you can do a search for the word "candida" within that preview I think, to get a glimpse. Author's website gives a nice rundown on the reasoning, you might be able to get the gist of it at his website instead of buying the book.