When I first tried handgunning for deer I'd take my handgun in a shoulder holster and have my 30/06 rifle in my lap. The idea was to use the handgun for the close range shots. In reality, I had a buck come in too close (10 yds) and for fear of spooking him trying to extract the handgun from the holster, I just trew up the ole 30/06 and let him have it.
My point in this story is, in your case, I'd just load the high power load and take those coyotes at any range. Save the low power load for target practice. When push comes to shove, you will not want to risk switching loads for that close range coyote for fear of spooking him.