If money is a problem i would sugggest a handi rifle from new england firearms, in 223 about 250 bucks, great ammo for $25 for 50 shots but if u are dead set in a 17 or 22 mag i would go with 22 mag if you want to use it for coyotes no question. I have a 17 and love it and yes CAN be accurate everyones telling you they can shoot 5 shot touching at a 100 yards and i can do but they arent telling ueven a5 mph wind can really push that little bullet around making it worthless if u are going for a head shot on a yote because u have lack of gun and need to thread a needle with a shot. so i wouldd go with the 22 mag.