Back in the '80's I happened to rent a patch of land, no more than an acre, from a neighbor that had historically been their camper trailer parking spot next to a small river, pretty protected surrounded by big maples, called it their summer home. Wife had to go to assisted and the land became available. First a layer of manure, chix & goat, thick at least twice the normal rate by spreader. It being sod, I pulled one of the shares off a double set of plows so I could go deep, and
root prune the edges, i got the frame almost on the ground while turning and it was all a 60 hp 4x4 deere could handle, let the ground rest for a couple of weeks, went back and put a minimum of a foot layer of
compost turned under with a tiller run north/south and the east/west. I planted a variety of pole bean called Northeaster, I still go with this variety every year, our own saved seed. Planted 2 100 foot rows, running North/South10 feet apart on 8 foot t posts on 9 ga annealed wire, top and bottom, strung with baling twine every 4 in to run up, use this set-up still. Panted back row 1st waited 2 weeks and then front. Those beans came in so thick and strong I was picking 10 - 12 5 gal pails every other day. The vines ran up the
trellis and showed no sign of slowing so I put 12 ga wire on an x pattern post to post over head, the beans filled in the
canopy and we go up to 18 pails a picking, sold tons off the stand, neighbors and family got sick of getting bags of beans.
The point(s) of this ramble is you'll have to 1. go deep to the root zone to cut off competition from the
trees, 2. fertilize to excess and mix in very well. 3. if you trellis to 20' you'll have to get up there to pick, up and down, up and down will get old quick.
The variety usually runs 8-10 ft but yearly evidence points to the limits of condition/fertility governs the growth limits, plan accordingly, see to the end of the plan