I'm on the Specific Carbohydrate Diet and it's worked wonders for me.
When I was flaring badly, I was able to get everything back under control following a very strict diet of:
Baked chicken and chicken broth
Soft cooked carrots
Hard (expensive) cheddar cheese
Welch's 100% White Grape Juice
Olive OilHomemade yogurt
Salt and Pepper sparingly
I didn't let anything else in my body (aside from water of course). This was the product of much experimentation. Even drinking cheaper white grape juice would give me issues. These foods are all incredibly well tolerated.
I stayed on this until I was off of pred (6 months) and I've been symptom free and med free ever since!