Wow... sorry for the losses!!!!!
The first year I had chickens here I set out the live trap every night. First season I caught 15 adults, 3 Raccoon children, and 7 opossums.
But it kind-of scares me to hear that you're seeing them in the daytime. I guess I need to get the trap out again. I do hear that cat food is a great bait for the traps - if you don't leave other things around (like the feed bag). I just used raw meat scraps. I try to keep trimmings that aren't good for anything else in a bag in the freezer to use in the trap.
Theres a ton of good baits. I kept a raccoon as a teaching aid for national night outs (animal control)..her name was Bonnie. She was spayed, saw the vet annually and I had a permit through DNR. Fish, canned cat food, sardines, tuna, cocoa pops, fruit loops, marshmallow LOL! Raccoon eat anything and love it all.
Her favorite was mini oreos.
Our raccoon population is terrible this year. I am setting traps nightly also. The have no natural predator left for adults, and the babies are only at risk by owls.
You said the goats would lay down during transport. I was thinking I needed to figure out some way to make the area smaller so they weren't bumping around in too large a space but if they lay down, that wouldn't be necessary?
smaller space is better, but they will likely just lay down for the trip. The motion from travel makes them feel unsteady so they lie down.