I'm with
@azygous on this, and I free range my birds - they have acres.
Keeping food in the coop attracts vermin, not good. Simply scattering food attracts all sorts of things, again, not good. Throw them some scratch, if you must, for entertainment and to encourage them to scratch/forage in an area, but do NOT consider Scratch to be a significant part of meeting their nutritional needs daily. Nor should you use much - scratch is high fat, low value feed. Like nachos chips w/ cheese sauce, its an occasional treat, not the basis of a balanced diet.
That's a lot of boxes. How many birds do you have? I would put a back on those, and move it to a place that is shaded or otherwise protected. Hens laying eggs won't be comfortable where they can be approached from opposite sides - they want to be hidden from potential predators. At one point, I stapled some denim to the front of my boxes, hung about 2/3 of the way down. The birds would duck under, do their business, leave.