RE: coyote/bobcat gun/caliber
If you don' t mind single shots, the NEF or H&R (now owned by Marlin) make great little handy field rifles. Usually there accuracy is acceptable to unexpectedly great for the money you put into them as you can usually pick up one for under $250. I personally bought my NEF Superlight .223 for $195 plus tax. This is the route I went because I didn' t really know how I would like it and I didn' t have too much money into it to kick myself later. I bought the gun in December of last year and haven' t shot it but twice (guys, don' t hurt me too bad for saying that) since I got it. BUT! I don' t feel that bad because I didn' t spend too much. Hope this helps.
Josh