RE: What load for my '06
Make sure the accelerators shoot accurately in your rifle. My experience with them in a 30-30 has been that they are innaccurate and start wobbling out of control after about 35-50 yards.
If you aren't keeping the hides, use the bullet that is the most accurate in your gun. If you plan on keeping the hides, the 180 gr. corelocts would be your best bet. They expand slow enough they pretty much pass through the coyote without blowing all to pieces, yet they do expand enough to get a good clean kill with any decent shot.