Growing beans on corn that doesn't get very tall

The corn that we have here tops out at around 4.5 ft. I'd like to grow pole beans up the corn stalks but wondering how that will work out once the beans reach the tops of the corn stalks. Just from observing other climbing bean plants, they get super tall and then start to lean in any direction to find the next thing to grow on, sometimes linking the multiple things that they're growing on creating a big ol' bean plant mass. Great for trellises, not sure how it will work out on something as short and bendible as our corn plants.

Any thoughts?

Are there pole bean varieties that don't get that tall?? Not sure if this is even possible with an indeterminant vine plant (other than being limited by external factors like end of season etc).

zone 8a

Thanks!

I observe about 4 types of vines in common beans. I have mostly eliminated the super-long twining vines from the populations that I grow.

I grow pole beans on my corn and when it jumps from stalk to stalk, it helps lock everything in place and the corn lodges less easily. We have occasional high wind and raccoons -- both can knock corn over sometimes and the matrix of beans helps with that.

If the beans climbing the corn isn't a benefit, and you're really just after the N fixation and the bean crop, how about growing bush beans around the corn?  Squash may trample it if you're doing 3 sisters though...

We grew beans on our popcorn which doesn't get very tall last year. I'd say our popcorn was mostly under 3 feet tall. I don't know the name variety of beans as they were seeds saved by a neighbor. But they are kind of marbled grey and black. They grew exceptionally well with the popcorn. we got way more beans out of that field than we did our other two milpa fields.

Look up half-runner beans.  The vines get 4' long, so would be perfect for shorter corn varieties.

It's definitely possible to grow climbing beans up the short corn stalks. Though you may need to provide some additional support (perhaps with stakes or a trellis) to make sure it doesn't become too unwieldy. It could end up looking really cool!