like the others said, thats a tough order to fill for one rifle...
your talking about rabbits clear upto big game....though antelope dont get huge, they still require a decent sized rifle to take em down...
anything thats going to take an antelope is going to blow a rabbit to pieces....
the 17 rimfires ARE NOT coyote guns...some might say "its just a coyote i just want to get rid of them" i dont agree with that...use a gun that is going to put them down fast and effectively...
the 204 is a varmint caliber and will work on yotes but i wouldnt take an antelope with one...
for yotes and antelope id go 243 or larger...25/06, 7mm-08, etc aughta fill the bill nicely...
the mini14 isnt known for its accuracy...
use your 22 for rabbits...
thats my advice....and i like any excuse i can get to buy more toys! even if that means saving a while till i can buy another toy....