RE: which gun for fun?
IMO the sks is fun to shoot. Accurate........no. The other to .22LR and .17HRM are too lite for big coyotes. Remember the 7.62x39 has around the same power&range as a 30/30 win.
Do you have a " deer" rifle?......better to use it I think for practice for deer season.
You might check out the New England Arms Handi Rifle single shot...Around here they sell for about $180.00--210.00. This would make a nice gun to keep in the truck for coyotes. Caliber?........I would get a .243 win.
good luck and hope you thin out the d@^n critters.[>:]