I sowed a plot with winter wheat last Fall, even though I was afraid that when Spring came, the soil would be too wet for tilling, and the stuff would get out-of-hand. Imagine my surprise when, this Spring, it was far too wet to till and the stuff went wild, grew like weeds, and I had to work my tail off to get it cut and turned under. No more winter wheat for me, thanks...
I wonder if you grow anything over winter to eat? We have a type of Winter Lettuce, it's a heritage breed, breeds true, delicious and survives over winter, grows first in Spring. Oh, and we winter-over Bloomsdale spinach too. Sow now, work in lots of compost first, and sow on a hill you rake up. The more OM you can work in and the higher the hill, the better. Works very well, even in a cold winter... Good luck!