Well now. It looks like ya'll were right, there must be two culprits.
The trap hasn't gotten anything and my birds are going to stir crazy all locked up, so I set up a blind on top of my coop today... I use the word blind loosely, it was made of tarps and slightly wet alfalfa and some spare fencing and quite frankly might be the most redneck thing I've ever built. But I digress.
I hammered some rebar into the ground about 50 feet out from the coop, near the last killing, and leg tied a young capon to it (he's been hardly walking for a few weeks due to some kind of leg injury so he'd be getting culled real soon anyways, making for the perfect sacrificial bait). After about 2 hours sitting in the cold with a 20 gauge, wishing I brought a better jacket, the capon starts up Buck-Buck-BAKAW! We all know the sound. I'm looking around but I don't see anything, right? So I assume he's just getting cold and wants back inside. Same, buddy, same, I myself am thinking. Another hour passes. I had planned to stay put until 5:00, but by this point I was about done. So at 4:35 ish I pack it up, unload the shotgun, and start climbing down from the coop (this thing is 8' tall mind you). I head a big fwoop-fwoop and turn around and there it is. Massive Red Tailed hawk. Just sitting there. He didn't even fly away, just to the next tree. As I'm getting a shell back into the shotgun he flies again, this time to a much further tree. I took a potshot but yep, I missed, as expected.
I have work tomorrow, but I'll be keeping the trap out for my nighttime predator and on Sunday with any luck the daytime issues will suddenly no longer be a problem.