I wouldn't buy a Seven these days. Like every other high potential offering dreamed up by Remington, they make some dumb mistake to knock it off track. The Seven's shortcoming in factory guise it the 40+ ounce plastic stock they clamp to it.
An ideal setup would be along the lines of a Kimber Montana in 223AI, which would easily qualify as light and quick handling, yet be capable of punching two holes in any coyote you could see.
Under distance limited conditions, 200ish yards, a Ruger 77 sporter in KHornet makes a very convincing case for itself.
A Kimber Montana is an off the shelf ready to go rifle, though not in an AI chambering. Whittaker's stocks several. Once you've shot the barrel out of one (or two), PacNor will duplicate the factory contour. I've heard Mike Rock will as well but I haven't needed his services yet. Who knows what trigger time will be conferred on what in 2012 though.
But that is a lot of coyotes.
The biggest difference between the Seven and 700 actions is that the Seven has a shorter rear bridge and a shorter and narrower tang. Sevens are barreled shorter with a lighter profile. That would usually be a good thing but the balance is out of whack on Sevens and as supplied they are very butt heavy. Even in a McMillan Edge, that can't balance as well as the Montana.
Though the one I have in 7-08 will print smaller groups than any hunting rifle I've ever had, and that is a sample size that runs the gamut.
I wouldn't get too hung up on accuracy. A 10 a 7 a 700 a 77 and an 84M would all be capable of minute-of-coyote performance a long ways out. Balance, handling, reliability against the elements, are more decisive factors.
I was actually looking at replacement barrels for the Savage. They are priced very high....
You must be shopping in the wrong place.
What are you looking for?