I wouldn't use rice, grains and dogs just don't mix, use boiled chicken it's a much gentler protein, quinoa would be better as it's actually a seed not a grain if you felt you had to feed it at all.
I would recommend a good probiotic along with a digestive enzyme and some boiled chicken and the water you boil the chicken in for drinking. Slipper elm bark powder is amazing for stomach upset.
http://www.holvet.net/slippery_soup.html