Kirk Dekalb makes one that has three doors and a live bait cage. The three doors means it's open three sides and the live bait cage is positioned to move the coyote into position for the doors to fall.
I don,t manufacture now. I licensed my patents to a company that will.
The customers I have had that have the best luck using a trap designed to where live bait leads the predator into the trap. The trap height seems to be best with a open door height of 20" or more. The width of the door is best to be at least 13" or more. The length and width of the trap is determined by the Speed of the doors, and the position the animal is in when the door fires. The wider the trap the easier it is for the animal to spin and beat the door.
The problem is the size. You make it huge and it isn,t practical. Too expensive and hard to move. It also stands out and more noticeable the larger it is.
Mercer had a good post.
Cagemaker has a good standard size.
Best to design a cage trap that will catch the largest variety of animals well. From coon to bobcat is one size, when you add coyotes it adds more height and overall size, then you still would be better off using legholds.