If you're planting broad beans on a bed over the winter that you plant something else on, I'd say you were practicing cover cropping. Just because you use the "fruit" of the plant doesn't mean it's not a cover crop. Maybe I misunderstood what you wrote, but it sounds to me like you're already on your way. But, you need to plan your cover crop mix based on what your plans or needs are. If you are using cover crops for purposes A, B and D, then your cover crop mix will be 1, 2, 7 and 12. If you're purposes are for C, E, and M, then your cover crop mix will be 5, 8 and 14. See what I mean? If you want to increase organic matter, fix nitrogen and add copper, you may want to plant a particular mix of cover crop seed to do those things. If your purpose is to reduce compaction, suppress a pest and provide forage for goats, then your cover crop mix will be seed to do those things.
I also wouldn't think you need to have the cover crop pulverized to a fine size. Organic matter when cut to even a couple of inches in size will break down pretty quickly in a planting bed. Sometimes I find gardeners who believe they
should have a their soil nearly like powder and fine granules. I encourage people to have soil that looks more like cottage cheese and chopped organic matter from cover crop can help this. You want those air spaces and "chunky" feel to the growing medium. The air and
water combination in your soil is a better host for the billions of critters living and making your soil healthy.
But, repeating myself ... what you want achieve will determine what your cover crop choices are. Many people are trying to change or improve their soil chemistry and there are different cover crops mixes that can help do different things in that regard. I encourage you to define specifically what you want to achieve and then make your choices on cover crop seed ... yes, even at garden scale.