It would need to be grass with very deep roots. This exists, but it afaik struggles to grow with the typical compacted soils we have due to decades of mechanized agriculture and groundwater depletion.

On the broader topic, the sad thing about planting trees is that it is super hard to find a species that will grow well now and still do well in 40+ years given the +4°C trajectory we are on. The change is happening too rapidly for long lived species like trees.