I would consider dividing that area into thirds, with the coop in the middle third. (if that matches your current lay out) Do a deep litter in the area around the coop, then do your mixed pasture greens on either side. You could open up one side, let them graze for a bit, then close it down to rejuvenate while they graze the other side. The middle deep litter area would then be able to absorb the excess N and P, and give them good eats when they don't have access to the greens.