^ that guy has a good idea.

Turnips, kale, rape, or any other brassica would be good. The seeds are about the size of the ball in a ball point pen. I'd spray the whole area down with roundup (or glyphosate), wait a day then broadcast some fert, lime, and your seeds. The seeds should make some soil contact, and when the existing vegatation falls over to die it will cover the seed. The seeds don't cost much either, and you don't need any major ground engaging equipment like a plow or disk.