We have clay in our soil too. But it is wet, like modeling clay. We fed it with tons of lime to help break it down for many years in a row. Then added a lot of additives to help it hold moisture. That has worked for us. But 1/4 acre? IDK?? That sounds like a lot of work. NewYorkRita plants all her veggies in pots. Maybe you can get hints from her? Otherwise, I would suggest contacting your County Agent Extension Office for some hints on what to do with your particular area soil.
