Hows the woods around you, alot of oaks? 2 acres and an ATV is just fine. Pretty much what I do.
Clover n grans is simple. Get a soil sample and get a way to spray herbicide. It's a bit nerving at first using them, but youll be glad you did. You can spay lightly in the spring about a quart an acre once stuff starts greening up. Then throw some clover into the field right before or after mowing. LEt the summer do what it will do. Then once the days stop putting out alot of heat like mid auguat., spray about 2 quarts an acre of 41% gly. Throw mostly rye, but add some oats or wheat. Disc it up light to mic in the seed. Then either get a cultipacker or lawn roller or mke an 3 tire drag and add a logg or two ontop of it. Do one pass, then spread clover and maybe some turnips or radish. Then another pass.
you might need a field mower at some point, or you might be ok without it.
I'd grad some soil samples. Tak a shodel and take a scoop out, then in that pen spot takr some soil from 1 to 4 inch deep range with a hand shovel. Do that about a dozen or so times. Send it out for sampling.
Other things you can do is to release good deer trees in your woods. Open up a few nice iaks to more light, maybe some other trees that produce food.
If the deer got a little hiding spot at the end of the field, or make the transition from mature tree to field a bit brushy they come out earlier and more often.