My personal opinion is both are too light for the eastern coyote.The .17 REM. is the popular calibur for them western guys,not the .17 HMR
Will a .22 MAG kill a coyote? Yes,but shot placement has to be just about perfect,right in the boiler maker,or you will not recover that yote.
With all the hard work and how tough the PA coyote is to get into gun range,your flirting with a big let down after the shot with the .17 HMR and the .22MAG. Just not worth it to me,but,too each is own.
Good luck hunting1
*PaCoyotenut*