You may get 10 different answers if you ask 10 fellas, what trap to purchase.
I think an all around Fox/Coyote trap is the #2 Bridger, but modified with extrabase plate and center swiveled. I use offset jaw, #2 Bridgers and #3 Bridgers, but the mainstay is the #2.
Not sure on prices, but the #3 Duke, modified with extra baseplate & center swiveled may fit your needs.
New traps (and used traps)...
remove the nut, washer and bolt. Spread the posts apart (a little) and insert washer to the inside of post, push bolt thur and tighten nut as hard as you can, then back off nut to desired pan tenision.
By placing the washer on the inside of post and tightening nut and backing off, you will take the side to side wobble out of the pan. Check your used traps for this needed turning.