Hi DLLFB,
I hope things are going better for you and your family.
Yes, cancer does "like" simple sugars - it needs them to grow. That doesn't mean you have to avoid all sugar. Fructose is the simplest of sugars. It is found in fruit and vegetables, and can be removed and crystallized and is available in stores in that form, plus is plentiful in citrus fruits. Fructose is easily absorbed by cancer cells, but once inside it actually harms the cells because it inhibits the anaerobic metabolism cancer cells use to get energy. So fructose is actually a good simple sugar to use; it also is sweeter than regular cane sugar so you don't need as much.
Stevia is a natural herb grown in South America, and has been in use as a sweetener for centuries by the native South American peoples. There is no risk in using it when you have cancer, as the herb dissolves into the moisture in foods or liquids, sweetens them, but is not absorbed by the body but rather eliminated through the kidneys and bowel. You get the benefit of the sweetness without actually absorbing any sugar.
I have an article on fructose and stevia in my blog, including online references: http://motherearthtreasurechest.blogspot.com/2008/08/fructos
Some people recommend honey or molasses in very small amounts, but with the exception of Manuka honey (produced by bees in New Zealand only), fructose or stevia quite possibly are better choices, as honey and molasses contain a combination of many other sugars.
A certain kind of Manuka honey called activated honey, produced by bees in New Zealand only, contains a high degree of natural hydrogen peroxide, which when absorbed may act to inhibit cancer cell growth through much the same action as fructose. This activated honey contains very strong natural anti-bacterial properties that stop certain bacteria normally found in the body from producing acid. Cancer likes a very acidic environment, so it is possible that manuka honey could be beneficial in that respect. (Studies have been done about manuka honey - I do not know if they have been applied to cancer as well.)
Here are the sites I have found that talk about Manuka honey:
http://www.downtoearth.org/articles/manuka_honey.htm
http://manukahoney.com/resources/research/index.html
http://www.manukahoney.co.uk/
I have not investigated the use of molasses with cancer yet. Is on my long list of things to do, so if you find evidence regarding it's safety of use in cancer, I would be happy to hear those results.
Take care,
Tre