Re: sig sauer 7.62x51 for coyotes
Unless you hand load really light expect a bunch of fur damage...lol With good optics you can kill them a long long ways out, if you're looking to just kill them and not save fur I'd lean towards Hornady 168 a-max or hp they're really accurate out of mine and my friends bolt actions. Best advice I can give is to try several different brands and loads to give you a good basis for reloading. The sig auto guns are damn nice rifles so you did great in that aspect.
Post us a few pics of you rig once your'e all set up we all love a little eye candy.
Good luck and happy hunting