Where's my hammer?!? ;-)
I've been putting food on my table for 40 years using a .22 rifle and a 12 guage shotgun. .22 for squirrel, rabbit, deer...damn near anything that will sit still for a minute. 12 guage for deer and birds. If you're open to buying used...you can get one of each and stay within your budget. Anyone that can't hunt and defend themselves with a .22...it's most likely more a matter of the shooter, and not the gun.