If I remember reading this, KDWP does not consider coyotes to be a furbearer. I read the regs again and agree with those above, you need the furharvester license to hunt or trap furbearers other than coyotes.
LICENSES & FEES
A furharvester license is required to hunt, trap, or pursue (run) furbearers, or to sell their pelts unless exempt by Kansas law. A furharvester license is required to trap coyotes, and a hunting license is required to hunt them. The same license required to take coyotes is required to sell their pelts. Unlicensed, non-participating observers may accompany a licensed furharvester but may not assist in carrying or using equipment, controlling dogs, or otherwise assisting with furharvesting activities.
Persons under 16 years old may purchase a junior furharvester license at a discounted price.
Furharvester: All Resident Furharvester Licenses can be purchased online or at any licensed agent.
* Resident Furharvester: $20.15
* Resident Junior Furharvester: $12.15
* Nonresident Furharvester: $252.15
Fur Dealer Permits and Lifetime may only be purchased at the Pratt Operations Office .
Resident Fur Dealer : $102.15
Nonresident Fur Dealer: $402.15
Lifetime Furharvester (Resident only ): $442.15