No, it's not too small, and hit them anwhere you can! It's all how you look at it. I shoot a 223 varmint AR during critter callin, but have taken a few for fun with a 17mach 2 (they will keep running, but eventually tip over). You have to remember that the others will kill an injured yote, all ya gota do is draw a good amount of blood. Your 22mag will work great under 200yrds, not really worth dropping the cash to buy an exclusive varmint rifle, unless the bug gets ya and more rifles is in your future!