A number of interesting observations in this thread, plus a potential learning opportunity.
First is the observation of coons out during the day. It now occurs to me that this year and last, I began noticing coons out during the middle of the day. Always in the middle/heat of the summer. Two possible reasons.......days are long and nights are short.....so not much time to forage after dark, plus parents feeding the little ones have high nutritional needs, so may need to hunt day and night to keep up?
Second, is in the world of trapping raccoons, the dog proof types work best. Which trap are you using? Duke or other? The Duke's have a one way trigger to prevent any dog, cat (or chicken) from getting nabbed. Varmint has to be able to grasp the bait and pull it out to trip the trigger. So not many critters who would try for the bait can trip the trigger.
Third is even if the trap is effective, in a high density setting, trying to trap them out is futile. If this were the fall an you were a fur trapper, you would have hit the "Bonanza". Perhaps save up the inventory and invite a fur trapper in next fall to thin the herd for you then? Let them put out 3 dozen traps for a month or so and really clean em out?
Lastly this is a golden opportunity to test the effectiveness of a hot wire electric fence. You know the tight coop works to protect them at night. Second line of defense is to establish a distant perimeter to move the predators out away from the coop by day and an electric fence is the tool to do that. With no deterrent other than instant death, which coons don't have to worry about because they don't know about it until it's too late (no learning curve option)......their instinct is to just keep coming and trying. There is no deterrent factor so why not try to walk in during the middle of the day and kill something? For all they know, you must be setting the table for them same as if you were setting out bowls of cat food yourself.
So do get busy to establish an perimeter of a hot wire electric fence system and let us know how it works for you.
My system is 4 hot wires (17 gauge aluminum wire) set at 5 inch intervals up from the ground. And an insanely hot fence charger like my Parmak 12 volt, which is tests out around 14,000 volts. An encounter or two from that and they go looking elsewhere for something to eat......and so do the buzzards who had been dining on all the dead coons.