I transferred my GI bill benefits to my son, who attended an expensive private university (just shy of $50K/year tuition). School participated in the Yellow Ribbon program so they covered some additional expenses.
Between GI Bill + YR covering tuition, fees, books ... and the GI Bill BAH payment faaaaar exceeding his actual room and board costs, he graduated with no debt and the excess BAH funds helped pay for his sister's costs at another university.
It of course depends on how you live and what other expenses (family/kids) you might have, but you probably won't need much beyond the GI Bill, especially if the school you choose does the Yellow Ribbon thing.