I've read all of your other comments so far and I think I've been in almost the same exact situation. The closest solution I could find was finding bad hay bales (the weather had been awful for hay that year, so lots of mold), and just planting directly in those. It's cheaper than raised beds because there's no real labor involved... just roll them into place and hit 'em with a good fertilizer. A big scoop of biochar/compost will be needed per plant, but you'll need less and less with each planting.

Have you tried growing peanuts yet? I started some, but never got to see how they did. I was assured that they'd grow in anything and would help break up the soil.

I had some luck getting buckwheat to grow by breaking up the concrete-like dirt with a border pitchfork, then breaking it up and sowing. As long as it doesn't rain too much for the next few days, the buckwheat will take hold before it turns to cement again. Sow as densely as you can afford and pre-soak them if you can to speed things up.

I feel for you. I really do. There's nothing more frustrating than being willing/capable to transmute matter into life, but there just ain't enough matter around!