I'm thinking "rutabega" or some type of brassica?

titleist - While its true a couple acres of food will not compare to MANY acres of beans & corn - Its what happens after the farmer Harvests the corn & beans that really matters. Besides - Since you are located in between the large food sources - Its VERY likely that the deer will bed on the plot you posted a picture of.

Standing corn when all else has been harvested - can be a REAL MAGNET - so can a real GREEN fall crop (when everything else is brown) like clover, rape, or rye.

I'd probably try several to see what the best results were.