150 yards?
I hate to be that guy but an AR15 is the perfect tool for this job.
I don't really think the coyotes will care how tactical you appear when you shoot them.
The LR-10 will add nothing in terms of results, other than weigh every bit of 10 pounds (plus ammo, hope you're not walking far) kick harder and make follow up shots about impossible. Plus, you're not gonna buy one of those and mount/scope it for under 1K.
Coyotes are not known for their patience in waiting around for you to take a 2nd shot at them. Bolt action is gonna be your best bet for one shot/one kill. Mossberg Patriot, Savage Axis, and the like (with scope) can be had for $650 all day and will shoot tennis balls from 150 yards with basic effort. And they come in all the cool flavors, 223, 308, 270, 7mm, 6.5....
There's always one guy who wants to go against the grain and I guess that's me today, and I apologize in advance. I like AR15's, I'm not their biggest fan, but in this case with some sweet ammo I still think it's the perfect semi auto choice for this job.