The only rimfire that u may consider would be a . 17 and then again shot placement is key i have seen many coyotes killed actually 77 in one year and i have hunted them for 3 years and watched them be hunted my whole life ..... i have only been able to hunt for 3 years ...... but if u want a fox and coyote gun i reccamend a .220 swift or a .22-250.... myself i use an over-under 12 gauge 3.5 mag !