I have shot a lot of BB, #2 should work fine. You will just have to remember that #2 will not break shoulder bones, hips, and the spine on a coyote. If at all possible, when using shot smaller than #4 buck, I always try and leade a a coyote for a head shot. You may consider this crazy, but a full choke is minimum and an extra full is even better with BB, and I suppose that the same would be true of #2....I have patterned a LOT of shotguns.
Good luck