If it were me, I'd think about how many coyotes there are in my territory before buying a new rifle-you might want to consider getting a rifle for specifically hunting them, or at least one that would excell at them and COULD do deer.

If you're sticking with a small cal. deer rifle, then I'd buy one of the three following, .243Win, .243WSSM, or a .25-06. The .243win is your .308 necked down to a 6mm bullet, good deer hunter, really good deer/coyote combo gun, really flat shooting gun...the .243WSSM is a definate improvement on the old 6mm bullet cartridge, if I ever buy another combo gun, this will be it in a winchester coyote WSM. The .25-06 is a .30-06 case necked down to a 25cal bullet, it's a great deer rifle, really good at coyotes too-albeit a little over weighted for small game, to me it's the perfect antelope gun-or texas whitetails. The only thing I don't like about the .25-06 for you is that you're not getting a different gun really, you'll have a .308 and a .25-06 that are capable of almost exactly the same things...although, since your H&R is a single shot, ANY bolt gun will be a little change on your hunts.