I've had coons come to predator calls. They sleep during the day but you might see the occasional coon while still hunting. I watched one from a deer stand one afternoon. He was sleeping on his back in a hollowed out tree fork. Every 30 minutes or so, he'd sit up, yawn, and look around.
I watched one, from a treestand, stalk a flock of turkeys. He got a hen, too. The flock blew up when he pounced and a couple actually landed in the tree I was in. My hand was twitching on my revolver, but it wasn't turkey season.
On a sunny day, you can spot a coon a goods ways off in a tree. The sun glints off their hair.
If you can find a swampy creek bottom with lots of coon tracks, you might get one by sitting and glassing. Shining a light in the same area at night might also be productive. The wardens around here wouldn't be very understanding, though. Maybe with a brinkman and a .22 revolver, but I'd ask first. Firelighting can be a felony, here.
+1 on trash and fish. If no night hunting is allowed, try early and late. They like fresh deer carcasses. With the rut approaching, lots of fresh road kill.
If you haven't eaten all day, barbecued coon is pretty good.
Blueticks make good pets, btw.
http://www.dogbreedinfo.com/bluetick.htm
Good Luck