I did not actually vote! Here is why....
I say any of the listed are good choices!
And the last choice is perfect if you are needing a excuse to buy another rifle!
Coyotes are not immune to anything from a .22 to a Scud Missle!
I Like:
17 HMR
22 LR (Prefer Stinger)
22 Magnum
22 Hornet
223
22-250 (was good one listed above)
25-06 (One of my favorite-less discussed calibers?)
The Regulars:
30-30
30-06
.357 Lever
.44 Lever
Now the one I usually grab:
Marlin 336 and a box of Remington Accelerators!
(Coyote - Dead Right There!) 3400 fps 55gr
I also keep the Accelerators for my 30-06
And the 25-06 is an awesome varmint rifle that does not seem to bring much attention on the forum? But I love this round myself!
Personally I keep a stock of accelerators....they are seasonal at most online stores like Midway and the 30-30 is a little harder to find, however if you reload they are readily available in bulk for the reloader and this is some fun reloading.
Keep in mind that Remington used special primers for the lever applications!
It is always handy since I usually carry my 30-30 (which would do the job) but just grab an accelerator and it becomes a handy varmint rifle!
Also like Federal Power Shok 125gr. Hollow Point in 30-30 for varmint type outings, However I have taken deer at over 100 yards with impressive results! I would probably not hesitate 200 yard shot. They are fast and hard hitting to say the least. (dont expect to save a coyote pelt with this round though!)