If you are spending time and money on growing deer why allow coyotes to be an additive source of mortality.
Because simply shooting one to two does instead of four or five is way easier and less costly for most general hunters or landowners than predator trapping and is a much better long term solution. Do you think most people really want to take the time effort and money it takes to trap? Also, most people who are seriously managing their land for deer probably aren�t concerned with not having to harvest as many does.