Get heavier gauge baling wire or order some from a trapping supply house. 14 or so gauge baling wire is not quite heavy enough for coyotes. If you can stake them down then heavy duty J hooks/ swivels and #3 chain work well on the trap. Spouse uses the heavier gauge wire for drags.
Always secure any trap as if you are expecting a t rex or a sasquatch to step in it. Even the most docile appearing animal can thrash around like you can't believe. Years ago when I was using the live trap cage type traps, the coons and possums would smash around inside and bend the pans and coons will barrel roll the trap and try to get the doors to flip open. I seldom stake out a foot trap anymore. I use snare extensions or wolf fangs or an old truck brake rotor as a weight/drag with extra chain Even my rat traps and gopher traps have chain or cable on them. The other predators will carry off the animal in the trap if unsecured.
Years as in decades ago we used to make our chains out of baling wire. This is an example of they were made. Being kids, we did not mind since the construction was cheap. My Grandpa had a jig, that we used, 2 pegs about 3" apart, double wrap the wire around the jig, then wrapped around the center from each end. Ours were a lot longer than these.
Combat Infantryman, the ultimate hunter where the prey shoots back. _____________"Illegitimus non carborundum est"_______________
Should have also posted that the best advice I ever got was to add a quality swivel to your trap chain. Animals can roll and roll and get the chain twisted up and break a weak connection or get the chain twisted up and get leverage to wring themselves out of you trap or break a weak connection point and run off with your trap. I use the MB swivels. About 50 cents versus losing a $15.00 + trap
If it's hard rocky ground, I'll use an old truck brake rotor It's heavy enough they won't up and run away with it, but it's got enough give that the animal likely won't be able to jerk loose. The commercial drags are ok, but work better with soft ground so they dig in, and they need a goodly length of chain to work right