Tall grass is the preferred fawning habitat for deer. They like to fawn in tall grass, and they like to fawn a comfortable distance away from the edge. If you leave only the edge, they probably will not fawn there.

Unless food is a limiting resource, I would probably leave the grass alone, especially if you are going to do a food plot, anyway. I've seen and accidentally run over no telling how many fawns because neighboring landowners left no tall grass, so the deer fawned out in the wheat fields. And unfortunately for the deer, wheat harvest hits at the same time as fawning season.