Tim, First of all you certainly like a challenge!!!
I would concentrate on stealth. Look for areas where there are lots of vermin...I don't know where you are, but in WV when the acorns are spotty, and the squirrels and chipmunks are concentrated in mountain areas (NO FIELDS) then we see lots of cats and coyotes in those spots as well. Lowlight times of course seem best. Cats evening, coyotes usually troll in the evenings but are noisy in the mornings at first light.

Don't have a clue as to how to tell you to call, but I would use a natural blind and ghille suit. Calling I would use soft turkey calls w/decoys, squirrel calls and boneless tail tied to a stick w/black thread to blow inthe breeze, or mouse calls and do some faint scratching in the leaves. I would use low draw wt. Don't need the kinetic energy and I would say drawing easily and holding longer would be much more important.

Just some thoughts. But hey, I have only drawn on one coyote and that thing stopped behind the only bush in the woods then split out of there after a deer. They are still running as far as I know!!!

Good Luck, Keep us posted if you try it.