Corn does not grow well for me.
So, I considered using tobacco as the tall crop. Problem is: if the beans climb the tobacco stalk, it could make harvesting the leaves difficult, since they normally are harvested from the bottom up.
Maybe wait until the bottom leaves are removed, then plant the beans? Or simply use bush beans? Then add a vine around them both?
I know that tobacco grows well here, not sure about sorghum, but considering trying it as the tall crop too.