It may well be that a crop will not be enough. You most likely need to think about feeding the soil as much as breaking through it. Depending on where you are and therefore what soil type you have, you may need to add some calcium to the profile, and also break it mechanically too. Has it been growing much since, and what has grown in the worst areas…??Thoughts on whether compaction can be resolved with root crops? E.g. fodder radish.
Got some ground that was dug for gravel and topsoil dozed back on (v. thin in some places), decades ago but drainage has been horrendous ever since.
TIA