In similar fashion I have about 2500 square feet of rye in rows. I scattered a bit of excess crimson clover I had in a few rows along the side as an experiment. I too am looking for a pea or hardyish bean to try between more of the rows. And on the cheap!
I planted the plot in recently cleared soil (dozed as part of clearing for my house) so it's probably okay for this year. There was what amounts to a big
hugelkultur mound of pine debris overgrown with brush that when the dozer cut into it looked like pretty decent
compost, so I had it spread out over this area.
Crossing my fingers. Planted a bit late (early December) for my zone, but so far it's looking good. Not much sign of clover so far. Some green bits I suspect are sprout, but still small.
Am test sprouting some black-eyed peas from grocery store at the moment in my kitchen. Cheap seed if they germinate. Need to see how hardy they are though. I'm in zone 8b and so far two nights of frost this year. Forecast looks warm out through January too.