I tried Varget and got some amazing groups with it but I wasn't getting the velocities I was looking for. The 52 gr Berger Match bullets are primarily for bench rest shooting. If you want something for coyotes try the Berger 52 gr Match Varmint.
Is there a particular reason you went with Berger? I liked the Sierra 52 gr HPBT best for my other 22-250's but the guns I have right now won't shoot them well. Moving at velocities above 3750 fps the Sierras were an excellent predator load.
Anyway......Here are a couple of Varget loads that shot very well in both my Remington 700VLS and my Kimber 84M.
52 gr Berger Varmint, CCI Benchrest primer, 35.5 gr Varget
52 gr Berger Varmint, CCI Benchrest primer, 36.7 gr Varget
CAUTION!! These loads should be carefully worked up to. http://www.hodgdon.com/