Your .270 will kill the crap out of a coyote at any range you can hit it...but the pelt damage might be a problem. If you don't care about the pelts, then I'd say if you got it, use it.

Otherwise, if you planned on saving and selling the pelts I'd suggest something lighter. The .223Rem, 22-250Rem (my preference) and the .220 Swift are all good coyote rounds. If you plan on taking lots of long range shots, and/or it's very windy where you hunt, then maybe a .243 Win or a 6mm Rem. would be a better choice. They both fire heavier longer bullets that will buck wind better and won't lose as much steam as the little .224cal bullets will out past 300 yards. All of the aforementioned cartridges also have the added benefit of being accurate and mild recoiling rounds, and are the most commonly chambered cartridges for most heavy barreled varmint style rifles.

I like my Ruger M77VT MkII 22-250 a lot. If I do my part it will ALWAYS shoot sub-MOA groups, and it's trajectory is laser flat out to 250 yards (less than +- 1.5" from line of sight). Plus I can shoot it all day without becoming sore or developing a flinch because the recoil is minimal.

Mike