Growing alfalfa in conjunction with fruit trees?

I want to grow an American persimmon fruit orchard and don’t want to be dependent on nitrogen fertilizers. I was thinking about planting alfalfa around the orchard to naturally provide nitrogen. If it becomes too numerous, could the nitrogen excess harm the trees? American persimmons don’t need very much nitrogen, about 30lbs for an orchard with 100 trees on a single acre. I would also likely be feeding the clippings to rabbits or cows. Is this a good idea or disaster waiting to happen?