As with any successful turf management program, cultural practices are critical for success. Reducing plant stress will prevent many problems from happening in the first place.
In Missouri follow these recommendations http://extension.missouri.edu/p/g6705
but substitute organic fertilizer and compost for nutrient sources. Ignore the amount of N recommended for synthetic fertilizer as organic matter is more efficient in supplying nutrients.
Weed control will be your biggest challenge. If you need help with organic pest control, PM me.