A friend of mine (a health educator) had diverticulitis for years and had to avoid a lot of foods or she ended up in the ER. She has found a patented fiber product that has eliminated all of her problems, and she gets 10 grams of fiber per day just from that if she only takes the minimum amount, 20 is more like it, without getting diarrhea. Her stomach and intestines have settled down so now she can eat even the problems foods like seeds and popcorn. She's had no flare-ups if she's consistent. She likes the patented aspect because so few food products have them - and the manufacturer has to prove safety, effectiveness and uniqueness to get that.
She has also sent me to quite a few nutritional seminars - I've been to quite a few where psyllium fiber is discussed. Remember that it's a waste product that was basically re-bottled! It's not nearly as effective or good for you as a product with both soluble and insoluble fiber. It takes some of the pressure off you, and you will be able to eat other foods you are now avoiding, at least some of the time.
With rice, start cooking it with other liquids - stock (such as chicken stock to go with a chicken meal, some tomato puree to go with Mexican food, etc.). They won't notice that it's not white rice because it won't be white anyway! Try not to cook separate meals for the family - you'll turn into a short-order cook! And the white products are not as good for the rest of them anyway - try to get them to go for more whole grains in everything.
We also bump up the fiber by putting beans (refried, mashed up black or kidney) or mashed lentils in burgers, along with wheat germ and other grains, making great enchiladas with beans and peppers and peas/corn (with the aforementioned brown/tomato rice on the side), and so on. You can add vegetables to a baked potato, either on top or by making restuffed potatoes (scooping out the potato halves and adding onions, scallions, broccoli, etc. and putting it back in the shell and rebuking until brown). We always hid a lot of good stuff in our own lasagna. Make a good apple crisp dessert with oats and apple slices and some brown sugar/cinnamon - easy and much better for everyone than typical desserts.