No rice is fine in fact when you do a proper exclusion diet it is one of the very few foods you can eat along with lamb, pears and lentils,,,, Grain substitutes are soya then if you are ok with that try millet, then rye, then corn, if all ok try spelt which is a much morre primitive form of wheat and people can often tolerate this even if they cant tolerate the modern stuff.
By the way who has advised you to do this? hopefully not one of these 'sensitivity test ' bods who turn up in the local health food shop....remember where you have to buy all these special foods they tell you that you need....just think how objective they might be.
..Have twice done exclusion diets once for a suspected nightshade family intolerance and once for wheat