A lot could depend on how much growing season you have (must be more northern to be using spring wheat?) and how much water you get for the cover crop to grow.
If you were south enough you would run winter wheat and second crop beans.
Iíve been running a few cover crops on a very few acres of my farm mostly for grazing. Alfalfa/clover plowdown mix, plus some turnips.
But I grew up fighting non crop plants in the fields (weeds) before there was much herbicide use, and now that we have a chance to get clean fields and good crops, we all want to grow a non crop crop with it again....
Itís hard to wrap my head around it all. :)