Ok, I have been doing a little bit of research and I have found some articles on diets as a treatment option for Candida-overgrowth in humans, although the most recent investigation showed no clear results (mostly due to the high number of dropouts). 'Healthy diet' and 'low Sugar low yeast ' diets showed similar results (measured only as Quality of Life and and levels of fatigue), giving a vague indication that changes in diet have no effect on Candida growth...
See reference PubmedID:18339054.
I am unsure if anyone posted it before, but now there is concrete evidence that a colonisation of the intestines by Candida can promote hypersensitation to food allergens in mice (PudMedID 16423887). This can manifest in a condition called atopic dermatitis (skin eczema), which may be closely related to our condition. We will have to wait for follow-up research in humans.
I have not yet been able to find an independent study that demonstrates the effect of 'low Sugar low yeast' diets or 'Candida-free' diets on the actual presence of Candida in the stomach/ intestines/ mouth, although I will keep searching.
As a side note, I'm a Master in Medical Biology (graduated this year :D ), so I have a good idea of what I'm talking about (although of course I don't know everything!)