Presumably you fructose malabsorption and not herditary fructose intolerance. The later is a serious genetic disease which requires the elimination of all foods contain fructose. The former only requires removing foods that contain more fructose than glucose such as honey, apples, pears, high fructose corn syrup, etc. You can read more about fructose malabsorption in the first link in my signature.
If you have fructose malabsorption then rice milk should not be a problem.
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