Most original
native "three sisters" (and many actually included other planth such as sunflowers, cleome, etc.) were planted for dry storage yields all gathered together in the autumn.....in other words dry mature corn, as for corn meal, dry pole beans....think pintos, kidneys, limas, etc. and mature winter squash like acorn or butternut. One of the points, and beauties, of this system is that when it works, it's a complete jungle, completely stacked and packed so that weeds hardly find a spot. Then when frost comes you go in and gather all the stuff at the same time. I think you will probably find the jungle difficult to work in when attempting it with varieties of all three species for "immature" harvest. Maybe try several long beds with pathways between, so you can sort of reach in.
Another crucial tip is timing. Plant the corn first and let it get a foot or two tall, and then plant the others. That way it stays ahead and doesn't get smothered and broken down by the vines. A very good way is to plant the corn in groups of four or so plants close together, with four feet plus each way to the next clump. If the bean vines get overwhelming, tie the cornstalks together at the top like a tipi and this will be much stronger. Most sweet corn is pretty short.....I find it works best with a tall, heirloom field corn, some of which can reach ten feet or more.....