Savages are justly famous for their out-of-the-box accuracy. When coupled with the new accu-trigger, they are about the best shooters going.
Until now, Savage aimed at the low end of the market. Their rifles didn't have the fit and finish of the high-end Remingtons and Winchesters. They are now up-grading the fit and finish and producing some rifles that look as good as they shoot.
The .30-06 is a fine rifle for coyotes -- the very first Winchester Model 70 (serial number 1) in .30-06 was purchased and used for coyotes. It filled that role for over 50 years.
I'd handload with a light bullet, say 125 to 150 grains at 3,000 fps + for coyotes. Use FMJs if you want the pelt, softnoses if you don't care.
Now, if you plan to fire a lot of shots in one day, the .30-06 can be fatiguing -- but I doubt you'll see that many coyotes in one day. If you were hunting prairie dogs and planned on shooting hundreds of rounds a day, I'd say go with a more gentle cartridge.
On the other hand, if you think you might like to hunt deer, antelope, elk, and so on - the .30-06 is perfect for that. So you have a very versatile rifle there.