The problems with chickens and feeders are that they will scratch it out if they can and they will poop in it, ruining the food. Mine are still chicks so I don't have the experience with grown chickens in a coop set-up.
If you can keep the chickens from pooping in the style with the holes, they won't be able to scratch it out. Many people hang the feeder at the height of the chickens backs and rig up something so they cannot perch on top of the feeder. They will tape cones or something that flops over when they land on it to the top. Maybe put a bleach bottle or a funnel around the wire or rope that is holding it up. The limits are what you have available and your imagination.
One of the ones I liked was where someone took a 5-gallon plastic bucket, cut holes big enough for the chickens to stick their heads in near the top rim, then put that up-side-down over the feeder. The chickens could not scratch it, they could not poop on it and the food was protected from rain outside in the coop. You have to rig it up so they cannot turn it over, maybe putting a paver on top? A deli or grocery store with a deli will normally have free 2-1/2 gallon and 5 gallon food-grade plastic buckets.
Good luck!