Your 220 will be fine with the right bullets. I had the same problem with a 22/250 and light bullets on coyotes, hitting bone would create a shallow wound and a long follow up. I went to the 64 grain powerpoint and 38 grains of 4350 in the 22/250, and the results improved dramatically. I could now shoot them coming, going and sideways, and always had good penetration. Shot a couple of javelinas and deer with it as well, and killed them DRT. On top of that, it was one of the most accurate loads I ever shot in my riifle, I could put 5 shots into a ragged hole at 100.
I don't have time for busy people