If you broadcast a fall cover crop (rye, radishes, etc) over them and allow some spring growth before termination, you are not going to have the pest, disease (and potentially weed) issues that come up with the same crop planted annually. Technically you're still "rotating" when you follow up a cool season crop after a warm season one.
Agree on your input comments Jack.. Beans need sulfur, anything producing protein for that matter. Insufficient Calcium and Potash (K) are often limiters for bean production as well.
One of the most respected no-til farmers (Ed Winkle) used to say 100# AMS + 100# Potash (0-0-60) was a great annual bean recipe. K put down in the fall, AMS when beans planted in spring.