Real food will typically produce more solid, smaller and firmer poos. This is what you could expect if you did a raw diet or at least home cooked.
If I went with an LID food, I'd go with California Natural over Natural Balance personally. I especially don't like their venison and bison formulas, you're paying a really high price for a bag of sweet potatoes and peas, their meat isn't even a meat meal so even though it's second on the ingredients list (Which means that the #1 ingredient of sweet potato has the most percentage of ingredient in the food) it's only "venison" or "bison" so it's weighed prior to the water being removed. Meat tends to be about 60% water so once that water is removed the meat in this food is nearly non-existent compared to the sweet potato and peas in it. At least in California Naturals Venison formula, the meat is the 1st ingredient and it's a meat meal so it's not going to drop on the ingredients list after being cooked. I'd personally try their lamb formula (Grain or grain free is both good) first though if you went with LID food. Would cooking or giving raw be an option at all?