Free: Contests & Raffles.
You know- after thinking about it I would suggest that this year you just use your 30-06 with some light loads. predator hunting is both addictive and very hard. You may get the occasional drive buy but when it comes to calling them in it is tough. Save your money this year and find out if you like it. Lots of hours can be spent freezing your arse off without calling in a thing.
Coyote hunting isn't any fun and is highly over rated as a pastime, save your money and buy booze.
That AR will do for ya, just put a Bushnell 3x9 trophy scope on it. be sure to purchase 1/2 inch risers for it, they install on the rail, to raise the scope, you absolutely want to do this.that gun will do just fine for you i suspect. don't expect it to be a 300 yard tack driver, it is what it is. so save the money on the scope. that Bushnell is actually a pretty good scope, I've had two, still have one, only costs a buck.good luck.